115329280 has 72 divisors (see below), whose sum is σ = 301400064. Its totient is φ = 41932800.

The previous prime is 115329271. The next prime is 115329283. The reversal of 115329280 is 82923511.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (115329283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9985 + ... + 18175.

It is an arithmetic number, because the mean of its divisors is an integer number (4186112).

Almost surely, 2^115329280 is an apocalyptic number.

115329280 is a gapful number since it is divisible by the number (10) 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 115329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700032).

115329280 is an abundant number, since it is smaller than the sum of its proper divisors (186070784).

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

115329280 is an equidigital number, since it uses as much as digits as its factorization.

115329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 115329280 is about 10739.1470797266. The cubic root of 115329280 is about 486.7581071274.

The spelling of 115329280 in words is "one hundred fifteen million, three hundred twenty-nine thousand, two hundred eighty".