115631135928 has 768 divisors, whose sum is σ = 421625917440. Its totient is φ = 28820966400.

The previous prime is 115631135923. The next prime is 115631135947. The reversal of 115631135928 is 829531136511.

115631135928 is a `hidden beast` number, since 1 + 1 + 5 + 631 + 1 + 3 + 5 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×115631135928² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115631135923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509388151 + ... + 509388377.

It is an arithmetic number, because the mean of its divisors is an integer number (548992080).

Almost surely, 2^115631135928 is an apocalyptic number.

115631135928 is a gapful number since it is divisible by the number (18) 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 115631135928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210812958720).

115631135928 is an abundant number, since it is smaller than the sum of its proper divisors (305994781512).

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

115631135928 is a wasteful number, since it uses less digits than its factorization.

115631135928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 115631135928 in words is "one hundred fifteen billion, six hundred thirty-one million, one hundred thirty-five thousand, nine hundred twenty-eight".