The invention relates to graft copolymers produced by radically polymerising polymerisable monomers and, in addition comprising long-chain ethylenically unsaturated compounds which contain alkyl substitutes, in particular acrylates or methacrylates and monomers with hydrogen bridge donator functions. According to said invention, said hydrogen bridge donator monomer is introduced into a polymer backbone and into graft side branches. The inventive polymers are particularly usable for lubricating oil formulations.