<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-04-23</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000889936</issuerCik>
        <issuerName>PRIVATEBANCORP, INC</issuerName>
        <issuerTradingSymbol>PVTB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001358714</rptOwnerCik>
            <rptOwnerName>GTCR FUND IX/B L P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 N. LASALLE STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 5600</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60654</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001421266</rptOwnerCik>
            <rptOwnerName>GTCR Partners IX, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 N. LASALLE STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 5600</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60654</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001262953</rptOwnerCik>
            <rptOwnerName>GTCR GOLDER RAUNER II LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 N. LASALLE STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 5600</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60654</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2014-04-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>319484</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>28.38</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>270293</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">GTCR FUND IX/B, L.P. (&quot;FUND IX/B&quot;) is the direct beneficial owner of shares reported in Table I. GTCR Partners IX, L.P. (&quot;GTCR Partners IX&quot;) is the general partner of FUND IX/B and GTCR Golder Rauner II, L.L.C. (&quot;GTCR&quot;) is the general partner of GTCR Partners IX. As such, GTCR Partners IX and GTCR may be deemed to be beneficial owners of the shares reported in Table I. The filing of this form shall not be deemed an admission that GTCR Partners IX or GTCR is, for Section 16 purposes or otherwise, the beneficial owner of those shares.</footnote>
    </footnotes>

    <remarks>FUND IX/B, collectively with GTCR FUND IX/A, L.P. and GTCR CO-INVEST III, L.P., has the right to appoint a representative to serve as a Director of Private Bancorp, Inc. Mr. Collin E. Roche currently serves as its representative on the board of PrivateBancorp, Inc.</remarks>

    <ownerSignature>
        <signatureName>/s/ Dennis M. Myers under a Power of Attorney</signatureName>
        <signatureDate>2014-04-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Dennis M. Myers under a Power of Attorney</signatureName>
        <signatureDate>2014-04-25</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Dennis M. Myers under a Power of Attorney</signatureName>
        <signatureDate>2014-04-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
