312528 has 40 divisors (see below), whose sum is σ = 857088. Its totient is φ = 97792.

The previous prime is 312527. The next prime is 312551. The reversal of 312528 is 825213.

312528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312528.

It is not an unprimeable number, because it can be changed into a prime (312527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625 + ... + 1007.

2³¹²⁵²⁸ 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 312528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

312528 is an abundant number, since it is smaller than the sum of its proper divisors (544560).

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

312528 is a wasteful number, since it uses less digits than its factorization.

312528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 312528 is about 559.0420377753. The cubic root of 312528 is about 67.8624671195.

The spelling of 312528 in words is "three hundred twelve thousand, five hundred twenty-eight".