312928 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 120960.

The previous prime is 312899. The next prime is 312929. The reversal of 312928 is 829213.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312929) by changing a digit.

312928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2401 + ... + 2527.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2³¹²⁹²⁸ 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 312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

312928 is an abundant number, since it is smaller than the sum of its proper divisors (461216).

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

312928 is a wasteful number, since it uses less digits than its factorization.

312928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 312928 is about 559.3996782266. The cubic root of 312928 is about 67.8914068350.

The spelling of 312928 in words is "three hundred twelve thousand, nine hundred twenty-eight".