313728640 has 32 divisors (see below), whose sum is σ = 750009060. Its totient is φ = 125491200.

The previous prime is 313728637. The next prime is 313728643. The reversal of 313728640 is 46827313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313728637) and next prime (313728643).

It can be written as a sum of positive squares in 2 ways, for example, as 292273216 + 21455424 = 17096^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 313728596 and 313728605.

It is not an unprimeable number, because it can be changed into a prime (313728643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244461 + ... + 245740.

Almost surely, 2^313728640 is an apocalyptic number.

It is an amenable number.

313728640 is an abundant number, since it is smaller than the sum of its proper divisors (436280420).

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

313728640 is an equidigital number, since it uses as much as digits as its factorization.

313728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490220 (or 490208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 313728640 is about 17712.3866263132. The cubic root of 313728640 is about 679.4925857074.

The spelling of 313728640 in words is "three hundred thirteen million, seven hundred twenty-eight thousand, six hundred forty".