112584528 has 120 divisors (see below), whose sum is σ = 366194816. Its totient is φ = 31622400.

The previous prime is 112584503. The next prime is 112584547. The reversal of 112584528 is 825485211.

112584528 is a `hidden beast` number, since 1 + 125 + 8 + 4 + 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 = 112584492 and 112584501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60573 + ... + 62403.

Almost surely, 2^112584528 is an apocalyptic number.

112584528 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 112584528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183097408).

112584528 is an abundant number, since it is smaller than the sum of its proper divisors (253610288).

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

112584528 is a wasteful number, since it uses less digits than its factorization.

112584528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1904 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 112584528 is about 10610.5856577288. The cubic root of 112584528 is about 482.8655670517.

The spelling of 112584528 in words is "one hundred twelve million, five hundred eighty-four thousand, five hundred twenty-eight".