115638432 has 288 divisors, whose sum is σ = 398974464. Its totient is φ = 29030400.

The previous prime is 115638373. The next prime is 115638433. The reversal of 115638432 is 234836511.

It is a junction number, because it is equal to n+sod(n) for n = 115638393 and 115638402.

It is not an unprimeable number, because it can be changed into a prime (115638433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895682 + ... + 1895742.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^115638432 is an apocalyptic number.

115638432 is a gapful number since it is divisible by the number (12) 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 115638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

115638432 is an abundant number, since it is smaller than the sum of its proper divisors (283336032).

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

115638432 is a wasteful number, since it uses less digits than its factorization.

115638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 115638432 is about 10753.5311409788. The cubic root of 115638432 is about 487.1926541368.

The spelling of 115638432 in words is "one hundred fifteen million, six hundred thirty-eight thousand, four hundred thirty-two".