315328 has 28 divisors (see below), whose sum is σ = 675640. Its totient is φ = 145152.

The previous prime is 315313. The next prime is 315349. The reversal of 315328 is 823513.

It is a junction number, because it is equal to n+sod(n) for n = 315299 and 315308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (24130).

2³¹⁵³²⁸ 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 315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337820).

315328 is an abundant number, since it is smaller than the sum of its proper divisors (360312).

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

315328 is a wasteful number, since it uses less digits than its factorization.

315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 315328 is about 561.5407376139. The cubic root of 315328 is about 68.0645292870.

The spelling of 315328 in words is "three hundred fifteen thousand, three hundred twenty-eight".