312848072928 has 120 divisors (see below), whose sum is σ = 922276582920. Its totient is φ = 104033445120.

The previous prime is 312848072917. The next prime is 312848072939. The reversal of 312848072928 is 829270848213.

312848072928 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 480 + 72 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (312848072917) and next prime (312848072939).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 942018 + ... + 1230078.

It is an arithmetic number, because the mean of its divisors is an integer number (7685638191).

Almost surely, 2^312848072928 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 312848072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461138291460).

312848072928 is an abundant number, since it is smaller than the sum of its proper divisors (609428509992).

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

312848072928 is a wasteful number, since it uses less digits than its factorization.

312848072928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288502 (or 288485 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 312848072928 in words is "three hundred twelve billion, eight hundred forty-eight million, seventy-two thousand, nine hundred twenty-eight".