115628352 has 112 divisors (see below), whose sum is σ = 352104960. Its totient is φ = 32804352.

The previous prime is 115628311. The next prime is 115628369. The reversal of 115628352 is 253826511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304899 + ... + 305277.

Almost surely, 2^115628352 is an apocalyptic number.

115628352 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 115628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176052480).

115628352 is an abundant number, since it is smaller than the sum of its proper divisors (236476608).

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

115628352 is a wasteful number, since it uses less digits than its factorization.

115628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 115628352 is about 10753.0624475077. The cubic root of 115628352 is about 487.1784978148.

The spelling of 115628352 in words is "one hundred fifteen million, six hundred twenty-eight thousand, three hundred fifty-two".