315728000 has 128 divisors (see below), whose sum is σ = 897436800. Its totient is φ = 108211200.

The previous prime is 315727967. The next prime is 315728011. The reversal of 315728000 is 827513.

315728000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110591 + ... + 113409.

It is an arithmetic number, because the mean of its divisors is an integer number (7011225).

Almost surely, 2^315728000 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 315728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448718400).

315728000 is an abundant number, since it is smaller than the sum of its proper divisors (581708800).

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

315728000 is an equidigital number, since it uses as much as digits as its factorization.

315728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2833 counting only the distinct ones).

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

The square root of 315728000 is about 17768.7365898648. The cubic root of 315728000 is about 680.9329754065.

The spelling of 315728000 in words is "three hundred fifteen million, seven hundred twenty-eight thousand".