112278528 has 176 divisors, whose sum is σ = 345861120. Its totient is φ = 35942400.

The previous prime is 112278521. The next prime is 112278563. The reversal of 112278528 is 825872211.

112278528 is a `hidden beast` number, since 1 + 122 + 7 + 8 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112278492 and 112278501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112278521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857023 + ... + 857153.

It is an arithmetic number, because the mean of its divisors is an integer number (1965120).

Almost surely, 2^112278528 is an apocalyptic number.

112278528 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 112278528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172930560).

112278528 is an abundant number, since it is smaller than the sum of its proper divisors (233582592).

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

112278528 is a wasteful number, since it uses less digits than its factorization.

112278528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 112278528 is about 10596.1562842382. The cubic root of 112278528 is about 482.4277006939.

The spelling of 112278528 in words is "one hundred twelve million, two hundred seventy-eight thousand, five hundred twenty-eight".