312731328 has 168 divisors, whose sum is σ = 1036972272. Its totient is φ = 82446336.

The previous prime is 312731327. The next prime is 312731339. The reversal of 312731328 is 823137213.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312731295 and 312731304.

It is not an unprimeable number, because it can be changed into a prime (312731327) by changing a digit.

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, 121026 + ... + 123582.

It is an arithmetic number, because the mean of its divisors is an integer number (6172454).

Almost surely, 2^312731328 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 312731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518486136).

312731328 is an abundant number, since it is smaller than the sum of its proper divisors (724240944).

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

312731328 is a wasteful number, since it uses less digits than its factorization.

312731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2582 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 312731328 is about 17684.2112631579. The cubic root of 312731328 is about 678.7718083948.

The spelling of 312731328 in words is "three hundred twelve million, seven hundred thirty-one thousand, three hundred twenty-eight".