115961328 has 160 divisors (see below), whose sum is σ = 392990720. Its totient is φ = 32037120.

The previous prime is 115961311. The next prime is 115961347. The reversal of 115961328 is 823169511.

115961328 is a `hidden beast` number, since 1 + 15 + 9 + 613 + 28 = 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 = 115961292 and 115961301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93126 + ... + 94362.

It is an arithmetic number, because the mean of its divisors is an integer number (2456192).

Almost surely, 2^115961328 is an apocalyptic number.

115961328 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 115961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196495360).

115961328 is an abundant number, since it is smaller than the sum of its proper divisors (277029392).

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

115961328 is a wasteful number, since it uses less digits than its factorization.

115961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115961328 is about 10768.5341620854. The cubic root of 115961328 is about 487.6456937319.

The spelling of 115961328 in words is "one hundred fifteen million, nine hundred sixty-one thousand, three hundred twenty-eight".