315145728 has 240 divisors, whose sum is σ = 1005404400. Its totient is φ = 98205696.

The previous prime is 315145693. The next prime is 315145741. The reversal of 315145728 is 827541513.

315145728 is a `hidden beast` number, since 31 + 51 + 4 + 572 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 315145692 and 315145701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114998 + ... + 2115146.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^315145728 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 315145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502702200).

315145728 is an abundant number, since it is smaller than the sum of its proper divisors (690258672).

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

315145728 is an equidigital number, since it uses as much as digits as its factorization.

315145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 315145728 is about 17752.3442958951. The cubic root of 315145728 is about 680.5141209995.

The spelling of 315145728 in words is "three hundred fifteen million, one hundred forty-five thousand, seven hundred twenty-eight".