315728928000 has 864 divisors, whose sum is σ = 1240750842240. Its totient is φ = 79725772800.

The previous prime is 315728927989. The next prime is 315728928023. The reversal of 315728928000 is 829827513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×315728928000⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147742932 + ... + 147745068.

Almost surely, 2^315728928000 is an apocalyptic number.

315728928000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315728928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620375421120).

315728928000 is an abundant number, since it is smaller than the sum of its proper divisors (925021914240).

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

315728928000 is an equidigital number, since it uses as much as digits as its factorization.

315728928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 315728928000 in words is "three hundred fifteen billion, seven hundred twenty-eight million, nine hundred twenty-eight thousand".