312545328 has 80 divisors (see below), whose sum is σ = 832149120. Its totient is φ = 101025792.

The previous prime is 312545309. The next prime is 312545369. The reversal of 312545328 is 823545213.

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, 335968 + ... + 336896.

It is an arithmetic number, because the mean of its divisors is an integer number (10401864).

Almost surely, 2^312545328 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 312545328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416074560).

312545328 is an abundant number, since it is smaller than the sum of its proper divisors (519603792).

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

312545328 is a wasteful number, since it uses less digits than its factorization.

312545328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 312545328 is about 17678.9515526232. The cubic root of 312545328 is about 678.6372129949.

The spelling of 312545328 in words is "three hundred twelve million, five hundred forty-five thousand, three hundred twenty-eight".