331181928 has 384 divisors, whose sum is σ = 1207664640. Its totient is φ = 79488000.

The previous prime is 331181911. The next prime is 331181941. The reversal of 331181928 is 829181133.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 331181892 and 331181901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7046401 + ... + 7046447.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^331181928 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 331181928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

331181928 is an abundant number, since it is smaller than the sum of its proper divisors (876482712).

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

331181928 is a wasteful number, since it uses less digits than its factorization.

331181928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 331181928 is about 18198.4045454540. The cubic root of 331181928 is about 691.8663523962.

The spelling of 331181928 in words is "three hundred thirty-one million, one hundred eighty-one thousand, nine hundred twenty-eight".