115820928 has 80 divisors (see below), whose sum is σ = 344712060. Its totient is φ = 38603520.

The previous prime is 115820921. The next prime is 115820959. The reversal of 115820928 is 829028511.

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 = 115820892 and 115820901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115820921) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4783 + ... + 15953.

Almost surely, 2^115820928 is an apocalyptic number.

115820928 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 115820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172356030).

115820928 is an abundant number, since it is smaller than the sum of its proper divisors (228891132).

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

115820928 is an equidigital number, since it uses as much as digits as its factorization.

115820928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11197 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 115820928 is about 10762.0131945654. The cubic root of 115820928 is about 487.4488088259.

The spelling of 115820928 in words is "one hundred fifteen million, eight hundred twenty thousand, nine hundred twenty-eight".