331728 has 20 divisors (see below), whose sum is σ = 857088. Its totient is φ = 110560.

The previous prime is 331711. The next prime is 331739. The reversal of 331728 is 827133.

331728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331728² = 220086931968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331698 and 331707.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331728.

It is an unprimeable number.

331728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3408 + ... + 3503.

2³³¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

331728 is an abundant number, since it is smaller than the sum of its proper divisors (525360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331728 is a wasteful number, since it uses less digits than its factorization.

331728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6916 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 331728 is about 575.9583318262. The cubic root of 331728 is about 69.2246406731.

The spelling of 331728 in words is "three hundred thirty-one thousand, seven hundred twenty-eight".