115528320 has 192 divisors, whose sum is σ = 412439040. Its totient is φ = 29767680.

The previous prime is 115528307. The next prime is 115528331. The reversal of 115528320 is 23825511.

It is a happy number.

115528320 is a `hidden beast` number, since 11 + 552 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 178237 + ... + 178883.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^115528320 is an apocalyptic number.

115528320 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 115528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

115528320 is an abundant number, since it is smaller than the sum of its proper divisors (296910720).

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

115528320 is a wasteful number, since it uses less digits than its factorization.

115528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115528320 is about 10748.4101149891. The cubic root of 115528320 is about 487.0379685565.

The spelling of 115528320 in words is "one hundred fifteen million, five hundred twenty-eight thousand, three hundred twenty".