331888128 has 160 divisors (see below), whose sum is σ = 1039433472. Its totient is φ = 92774400.

The previous prime is 331888087. The next prime is 331888169. The reversal of 331888128 is 821888133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331888087) and next prime (331888169).

It is a super-2 number, since 2×331888128² = 220299459014688768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331888128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218893 + ... + 220403.

Almost surely, 2^331888128 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 331888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519716736).

331888128 is an abundant number, since it is smaller than the sum of its proper divisors (707545344).

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

331888128 is a wasteful number, since it uses less digits than its factorization.

331888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1540 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 331888128 is about 18217.7970128114. The cubic root of 331888128 is about 692.3577732736.

The spelling of 331888128 in words is "three hundred thirty-one million, eight hundred eighty-eight thousand, one hundred twenty-eight".