113819328 has 84 divisors (see below), whose sum is σ = 372861840. Its totient is φ = 32518656.

The previous prime is 113819327. The next prime is 113819339. The reversal of 113819328 is 823918311.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×113819328³ (a number of 25 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 113819292 and 113819301.

It is not an unprimeable number, because it can be changed into a prime (113819327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10083 + ... + 18146.

Almost surely, 2^113819328 is an apocalyptic number.

113819328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113819328 is an abundant number, since it is smaller than the sum of its proper divisors (259042512).

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

113819328 is a wasteful number, since it uses less digits than its factorization.

113819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 28241 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 113819328 is about 10668.6141555499. The cubic root of 113819328 is about 484.6244699965.

The spelling of 113819328 in words is "one hundred thirteen million, eight hundred nineteen thousand, three hundred twenty-eight".