313385928 has 32 divisors (see below), whose sum is σ = 783898560. Its totient is φ = 104404160.

The previous prime is 313385923. The next prime is 313385953. The reversal of 313385928 is 829583313.

It is a super-3 number, since 3×313385928³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 313385928.

It is not an unprimeable number, because it can be changed into a prime (313385921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83533 + ... + 87203.

It is an arithmetic number, because the mean of its divisors is an integer number (24496830).

Almost surely, 2^313385928 is an apocalyptic number.

It is an amenable number.

313385928 is an abundant number, since it is smaller than the sum of its proper divisors (470512632).

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

313385928 is a wasteful number, since it uses less digits than its factorization.

313385928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7233 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 313385928 is about 17702.7096231057. The cubic root of 313385928 is about 679.2450733891.

The spelling of 313385928 in words is "three hundred thirteen million, three hundred eighty-five thousand, nine hundred twenty-eight".