1858 Lobachevskij is a rare-type background asteroid from the central region of the asteroid belt, approximately 13 kilometers in diameter. It was discovered on 18 August 1972, by Soviet astronomer Lyudmila Zhuravleva at the Crimean Astrophysical Observatory in Nauchnyj, on the Crimean peninsula. The asteroid was named after Russian mathematician Nikolai Lobachevsky.