115817328 has 270 divisors, whose sum is σ = 394917432. Its totient is φ = 31595520.

The previous prime is 115817323. The next prime is 115817341. The reversal of 115817328 is 823718511.

115817328 is a `hidden beast` number, since 1 + 1 + 581 + 73 + 2 + 8 = 666.

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

Its product of digits (13440) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 115817292 and 115817301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115817323) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5035525 + ... + 5035547.

Almost surely, 2^115817328 is an apocalyptic number.

115817328 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 115817328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197458716).

115817328 is an abundant number, since it is smaller than the sum of its proper divisors (279100104).

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

115817328 is a wasteful number, since it uses less digits than its factorization.

115817328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 115817328 is about 10761.8459383137. The cubic root of 115817328 is about 487.4437584033.

The spelling of 115817328 in words is "one hundred fifteen million, eight hundred seventeen thousand, three hundred twenty-eight".