113816328 has 128 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 34327040.

The previous prime is 113816293. The next prime is 113816333. The reversal of 113816328 is 823618311.

113816328 is a nontrivial binomial coefficient, being equal to C(15088, 2).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1063651 + ... + 1063757.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^113816328 is an apocalyptic number.

113816328 is the 15087-th triangular number and also the 7544-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113816328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

113816328 is an abundant number, since it is smaller than the sum of its proper divisors (199711992).

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

113816328 is a wasteful number, since it uses less digits than its factorization.

113816328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 113816328 is about 10668.4735552937. The cubic root of 113816328 is about 484.6202121193.

The spelling of 113816328 in words is "one hundred thirteen million, eight hundred sixteen thousand, three hundred twenty-eight".