115829280 has 144 divisors (see below), whose sum is σ = 451773504. Its totient is φ = 26472960.

The previous prime is 115829269. The next prime is 115829281. The reversal of 115829280 is 82928511.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (115829281) 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 23 ways as a sum of consecutive naturals, for example, 4335 + ... + 15825.

It is an arithmetic number, because the mean of its divisors is an integer number (3137316).

Almost surely, 2^115829280 is an apocalyptic number.

115829280 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 115829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225886752).

115829280 is an abundant number, since it is smaller than the sum of its proper divisors (335944224).

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

115829280 is a wasteful number, since it uses less digits than its factorization.

115829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11508 counting only the distinct ones).

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

The square root of 115829280 is about 10762.4012190589. The cubic root of 115829280 is about 487.4605254033.

The spelling of 115829280 in words is "one hundred fifteen million, eight hundred twenty-nine thousand, two hundred eighty".