315728 has 20 divisors (see below), whose sum is σ = 699360. Its totient is φ = 135264.

The previous prime is 315703. The next prime is 315739. The reversal of 315728 is 827513.

315728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 315697 and 315706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315728.

It is an unprimeable number.

315728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1298 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (34968).

2³¹⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

315728 is an abundant number, since it is smaller than the sum of its proper divisors (383632).

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

315728 is a wasteful number, since it uses less digits than its factorization.

315728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2828 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 315728 is about 561.8967876755. The cubic root of 315728 is about 68.0932975407.

The spelling of 315728 in words is "three hundred fifteen thousand, seven hundred twenty-eight".