312528048 has 160 divisors (see below), whose sum is σ = 989746176. Its totient is φ = 83026944.

The previous prime is 312528031. The next prime is 312528079. The reversal of 312528048 is 840825213.

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 31 ways as a sum of consecutive naturals, for example, 285390 + ... + 286482.

Almost surely, 2^312528048 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 312528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494873088).

312528048 is an abundant number, since it is smaller than the sum of its proper divisors (677218128).

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

312528048 is a wasteful number, since it uses less digits than its factorization.

312528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 312528048 is about 17678.4628291037. The cubic root of 312528048 is about 678.6247059374.

The spelling of 312528048 in words is "three hundred twelve million, five hundred twenty-eight thousand, forty-eight".