315079128 has 192 divisors, whose sum is σ = 1105977600. Its totient is φ = 78693120.

The previous prime is 315079081. The next prime is 315079129. The reversal of 315079128 is 821970513.

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 = 315079092 and 315079101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315079129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123223 + ... + 125753.

It is an arithmetic number, because the mean of its divisors is an integer number (5760300).

Almost surely, 2^315079128 is an apocalyptic number.

315079128 is a gapful number since it is divisible by the number (38) 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 315079128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552988800).

315079128 is an abundant number, since it is smaller than the sum of its proper divisors (790898472).

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

315079128 is a wasteful number, since it uses less digits than its factorization.

315079128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 315079128 is about 17750.4683881863. The cubic root of 315079128 is about 680.4661797568.

The spelling of 315079128 in words is "three hundred fifteen million, seventy-nine thousand, one hundred twenty-eight".