315828720 has 400 divisors, whose sum is σ = 1205601408. Its totient is φ = 76308480.

The previous prime is 315828691. The next prime is 315828757. The reversal of 315828720 is 27828513.

315828720 is a `hidden beast` number, since 3 + 1 + 582 + 8 + 72 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5177490 + ... + 5177550.

Almost surely, 2^315828720 is an apocalyptic number.

315828720 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 315828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602800704).

315828720 is an abundant number, since it is smaller than the sum of its proper divisors (889772688).

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

315828720 is a wasteful number, since it uses less digits than its factorization.

315828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 315828720 is about 17771.5705552436. The cubic root of 315828720 is about 681.0053755713.

It can be divided in two parts, 3158 and 28720, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 315828720 in words is "three hundred fifteen million, eight hundred twenty-eight thousand, seven hundred twenty".