115352928 has 72 divisors (see below), whose sum is σ = 329395248. Its totient is φ = 38291712.

The previous prime is 115352927. The next prime is 115352947. The reversal of 115352928 is 829253511.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 115352892 and 115352901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115352927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83701 + ... + 85067.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2^115352928 is an apocalyptic number.

115352928 is a gapful number since it is divisible by the number (18) 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 115352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

115352928 is an abundant number, since it is smaller than the sum of its proper divisors (214042320).

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

115352928 is a wasteful number, since it uses less digits than its factorization.

115352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1665 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 115352928 is about 10740.2480418285. The cubic root of 115352928 is about 486.7913743921.

The spelling of 115352928 in words is "one hundred fifteen million, three hundred fifty-two thousand, nine hundred twenty-eight".