331628928 has 128 divisors (see below), whose sum is σ = 958612320. Its totient is φ = 101154816.

The previous prime is 331628887. The next prime is 331628929. The reversal of 331628928 is 829826133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 331628928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331628929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240850 + ... + 242222.

Almost surely, 2^331628928 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 331628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479306160).

331628928 is an abundant number, since it is smaller than the sum of its proper divisors (626983392).

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

331628928 is a wasteful number, since it uses less digits than its factorization.

331628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 331628928 is about 18210.6817005844. The cubic root of 331628928 is about 692.1774857426.

The spelling of 331628928 in words is "three hundred thirty-one million, six hundred twenty-eight thousand, nine hundred twenty-eight".