313728672 has 48 divisors (see below), whose sum is σ = 825455232. Its totient is φ = 104332800.

The previous prime is 313728647. The next prime is 313728683. The reversal of 313728672 is 276827313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313728672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40297 + ... + 47447.

It is an arithmetic number, because the mean of its divisors is an integer number (17196984).

Almost surely, 2^313728672 is an apocalyptic number.

313728672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313728672 is an abundant number, since it is smaller than the sum of its proper divisors (511726560).

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

313728672 is a wasteful number, since it uses less digits than its factorization.

313728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7613 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 313728672 is about 17712.3875296359. The cubic root of 313728672 is about 679.4926088099.

The spelling of 313728672 in words is "three hundred thirteen million, seven hundred twenty-eight thousand, six hundred seventy-two".