115629888 has 112 divisors (see below), whose sum is σ = 340376256. Its totient is φ = 34344960.

The previous prime is 115629863. The next prime is 115629889. The reversal of 115629888 is 888926511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115629889) 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 15 ways as a sum of consecutive naturals, for example, 111420 + ... + 112452.

Almost surely, 2^115629888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170188128).

115629888 is an abundant number, since it is smaller than the sum of its proper divisors (224746368).

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

115629888 is a wasteful number, since it uses less digits than its factorization.

115629888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 115629888 is about 10753.1338687845. The cubic root of 115629888 is about 487.1806550218.

It can be divided in two parts, 115 and 629888, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 115629888 in words is "one hundred fifteen million, six hundred twenty-nine thousand, eight hundred eighty-eight".