A novel soybean cultivar, designated 0487682, is disclosed. The invention relates to the seeds of soybean cultivar 0487682, to the plants of soybean 0487682 and to methods for producing a soybean plant produced by crossing the cultivar 0487682 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 0487682 with another soybean cultivar.