115280928 has 192 divisors, whose sum is σ = 393120000. Its totient is φ = 32852736.

The previous prime is 115280881. The next prime is 115280947. The reversal of 115280928 is 829082511.

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 = 115280892 and 115280901.

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, 296158 + ... + 296546.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^115280928 is an apocalyptic number.

115280928 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 115280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

115280928 is an abundant number, since it is smaller than the sum of its proper divisors (277839072).

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

115280928 is an equidigital number, since it uses as much as digits as its factorization.

115280928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

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

The square root of 115280928 is about 10736.8956407334. The cubic root of 115280928 is about 486.6900728927.

The spelling of 115280928 in words is "one hundred fifteen million, two hundred eighty thousand, nine hundred twenty-eight".