313724928 has 156 divisors (see below), whose sum is σ = 923813744. Its totient is φ = 94617600.

The previous prime is 313724927. The next prime is 313725029. The reversal of 313724928 is 829427313.

It is not an unprimeable number, because it can be changed into a prime (313724921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486743 + ... + 1486953.

Almost surely, 2^313724928 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 313724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461906872).

313724928 is an abundant number, since it is smaller than the sum of its proper divisors (610088816).

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

313724928 is a wasteful number, since it uses less digits than its factorization.

313724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 313724928 is about 17712.2818405760. The cubic root of 313724928 is about 679.4899058050.

The spelling of 313724928 in words is "three hundred thirteen million, seven hundred twenty-four thousand, nine hundred twenty-eight".