331328 has 28 divisors (see below), whose sum is σ = 682752. Its totient is φ = 159360.

The previous prime is 331319. The next prime is 331333. The reversal of 331328 is 823133.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is an unprimeable number.

331328 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, 1901 + ... + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2³³¹³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376).

331328 is an abundant number, since it is smaller than the sum of its proper divisors (351424).

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

331328 is a wasteful number, since it uses less digits than its factorization.

331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 331328 is about 575.6109797424. The cubic root of 331328 is about 69.1968056262.

The spelling of 331328 in words is "three hundred thirty-one thousand, three hundred twenty-eight".