112505328 has 240 divisors, whose sum is σ = 370333440. Its totient is φ = 32617728.

The previous prime is 112505299. The next prime is 112505339. The reversal of 112505328 is 823505211.

It is a happy number.

112505328 is a `hidden beast` number, since 1 + 125 + 0 + 532 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679151 + ... + 1679217.

It is an arithmetic number, because the mean of its divisors is an integer number (1543056).

Almost surely, 2^112505328 is an apocalyptic number.

112505328 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 112505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185166720).

112505328 is an abundant number, since it is smaller than the sum of its proper divisors (257828112).

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

112505328 is a wasteful number, since it uses less digits than its factorization.

112505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 112505328 is about 10606.8528791532. The cubic root of 112505328 is about 482.7523131121.

The spelling of 112505328 in words is "one hundred twelve million, five hundred five thousand, three hundred twenty-eight".