112861728 has 96 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 32244480.

The previous prime is 112861717. The next prime is 112861741. The reversal of 112861728 is 827168211.

112861728 is a `hidden beast` number, since 1 + 12 + 8 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 112861692 and 112861701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3283 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (3919020).

Almost surely, 2^112861728 is an apocalyptic number.

112861728 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 112861728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

112861728 is an abundant number, since it is smaller than the sum of its proper divisors (263364192).

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

112861728 is a wasteful number, since it uses less digits than its factorization.

112861728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18687 (or 18673 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 112861728 is about 10623.6400541434. The cubic root of 112861728 is about 483.2615380742.

The spelling of 112861728 in words is "one hundred twelve million, eight hundred sixty-one thousand, seven hundred twenty-eight".