113528016 has 180 divisors, whose sum is σ = 377736736. Its totient is φ = 31173120.

The previous prime is 113528003. The next prime is 113528027. The reversal of 113528016 is 610825311.

It is a super-2 number, since 2×113528016² = 25777220833792512, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1694415 + ... + 1694481.

Almost surely, 2^113528016 is an apocalyptic number.

113528016 is a gapful number since it is divisible by the number (16) 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 113528016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188868368).

113528016 is an abundant number, since it is smaller than the sum of its proper divisors (264208720).

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

113528016 is a wasteful number, since it uses less digits than its factorization.

113528016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113528016 is about 10654.9526512322. The cubic root of 113528016 is about 484.2106634795.

The spelling of 113528016 in words is "one hundred thirteen million, five hundred twenty-eight thousand, sixteen".