315128268 has 288 divisors, whose sum is σ = 1056706560. Its totient is φ = 76930560.

The previous prime is 315128251. The next prime is 315128273. The reversal of 315128268 is 862821513.

It is a happy number.

315128268 is a `hidden beast` number, since 3 + 1 + 512 + 82 + 68 = 666.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (192).

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, 2945071 + ... + 2945177.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^315128268 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 315128268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

315128268 is an abundant number, since it is smaller than the sum of its proper divisors (741578292).

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

315128268 is a wasteful number, since it uses less digits than its factorization.

315128268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 315128268 is about 17751.8525230467. The cubic root of 315128268 is about 680.5015532729.

The spelling of 315128268 in words is "three hundred fifteen million, one hundred twenty-eight thousand, two hundred sixty-eight".