RIOPLATENSE 2012 Problem 1

An integer $n$ is called apocalyptic if the addition of $6$ different positive divisors of $n$ gives $3528$ . For example, $2012$ is apocalyptic, because it has six divisors, $1$ , $2$ , $4$ , $503$ , $1006$ and $2012$ , that add up to $3528$ .

Find the smallest positive apocalyptic number.