311027113728 has 216 divisors, whose sum is σ = 903635066880. Its totient is φ = 102884689920.

The previous prime is 311027113717. The next prime is 311027113757. The reversal of 311027113728 is 827311720113.

It is a happy number.

311027113728 is a `hidden beast` number, since 3 + 1 + 10 + 271 + 1 + 372 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311027113692 and 311027113701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316405525 + ... + 316406507.

It is an arithmetic number, because the mean of its divisors is an integer number (4183495680).

Almost surely, 2^311027113728 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 311027113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451817533440).

311027113728 is an abundant number, since it is smaller than the sum of its proper divisors (592607953152).

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

311027113728 is a wasteful number, since it uses less digits than its factorization.

311027113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 311027113728 in words is "three hundred eleven billion, twenty-seven million, one hundred thirteen thousand, seven hundred twenty-eight".