AHSME 1996 Problem 29

If $n$ is a positive integer such that $2n$ has $28$ positive divisors and $3n$ has $30$ positive divisors, then how many positive divisors does $6n$ have? $\text{(A)}\ 32 \text{(B)}\ 34 \text{(C)}\ 35 \text{(D)}\ 36 \text{(E)}\ 38$