Abakumov made his professional debut on 30 April 2009 in a Russian First Division game for FC KAMAZ Naberezhnye Chelny against FC Vityaz Podolsk.

On 28 June 2012, Abakumov signed a two-year contract with Russian Premier League club Mordovia Saransk.

[2] In 2014, Abakumov played for FNL side Gazovik Orenburg.

[3] On 13 December 2017, Abakumov left FC Orenburg by mutual consent.

[4] In June 2018, Abakumov joined Armenian Premier League club Ararat-Armenia.