Question 32
Let a positive integer $n$ be called apocalyptic if among its positive divisors there are six of them which sum is equal to $3528$. For instance, $2012$ is apocalyptic since the sum of its six divisors, $1$, $2$, $4$, $503$, $1006$ and $2012$, is equal to $3528$. Determine the smallest apocalyptic positive integer.