312132528 has 120 divisors (see below), whose sum is σ = 927454528. Its totient is φ = 101570112.

The previous prime is 312132493. The next prime is 312132559. The reversal of 312132528 is 825231213.

312132528 is a `hidden beast` number, since 3 + 1 + 2 + 132 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166251 + ... + 168117.

Almost surely, 2^312132528 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 312132528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463727264).

312132528 is an abundant number, since it is smaller than the sum of its proper divisors (615322000).

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

312132528 is a wasteful number, since it uses less digits than its factorization.

312132528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1915 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 312132528 is about 17667.2727946336. The cubic root of 312132528 is about 678.3383071606.

The spelling of 312132528 in words is "three hundred twelve million, one hundred thirty-two thousand, five hundred twenty-eight".