Launch from the Baikonur Cosmodrome; landing 135 km north of Arkalyk. The launch was delayed three days of unspecified cause.

Soyuz 28 marked the first Interkosmos Mission with a foreihn cosmonaut on board. The Czechoslovakian Vladimir Remek became the first cosmonaut of his country. Following a one day solo flight Soyuz 28 docked with the Salyut 6 space station on March 03, 1978 and common work with the first resident crew was performed.

Interkosmos missions had mainly political purposes but also some scientific experiments were performed, including one which monitored the growth of Chlorella seaweed in zero gravity, another which used the on-board Splav furnace to melt glass, lead, silver and copper chlorides, and an experiment called Oxymeter which measured oxygen in human tissue.