RU-ALLRUSSIAN 1989 Problem 4

A positive integer n has exactly 12 positive divisors $1 = \mathrm{d}_1 < \mathrm{d}_2 < \mathrm{d}_3 < \ldots < \mathrm{d}_{12} = \mathrm{n}$ . Let $\mathrm{m} = \mathrm{d}_4$ - 1. We have $\mathrm{d}_{\mathrm{m}} = (\mathrm{d}_1 + \mathrm{d}_2 + \mathrm{d}_4) \mathrm{d}_8$ . Find n.