311020232328 has 512 divisors, whose sum is σ = 1048904640000. Its totient is φ = 84348076032.

The previous prime is 311020232321. The next prime is 311020232387. The reversal of 311020232328 is 823232020113.

It is a happy number.

311020232328 is a `hidden beast` number, since 3 + 1 + 102 + 0 + 232 + 328 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (311020232321) 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 127 ways as a sum of consecutive naturals, for example, 80719650 + ... + 80723502.

It is an arithmetic number, because the mean of its divisors is an integer number (2048641875).

Almost surely, 2^311020232328 is an apocalyptic number.

311020232328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311020232328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524452320000).

311020232328 is an abundant number, since it is smaller than the sum of its proper divisors (737884407672).

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

311020232328 is a wasteful number, since it uses less digits than its factorization.

311020232328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 311020232328 in words is "three hundred eleven billion, twenty million, two hundred thirty-two thousand, three hundred twenty-eight".