315528000 has 112 divisors (see below), whose sum is σ = 1041952704. Its totient is φ = 84134400.

The previous prime is 315527999. The next prime is 315528011. The reversal of 315528000 is 825513.

315528000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 17427 + ... + 30573.

Almost surely, 2^315528000 is an apocalyptic number.

315528000 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 315528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520976352).

315528000 is an abundant number, since it is smaller than the sum of its proper divisors (726424704).

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

315528000 is a wasteful number, since it uses less digits than its factorization.

315528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13177 (or 13157 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 315528000 is about 17763.1078361868. The cubic root of 315528000 is about 680.7891645300.

The spelling of 315528000 in words is "three hundred fifteen million, five hundred twenty-eight thousand".