112706328 has 256 divisors, whose sum is σ = 376012800. Its totient is φ = 27371520.

The previous prime is 112706317. The next prime is 112706333. The reversal of 112706328 is 823607211.

It is a junction number, because it is equal to n+sod(n) for n = 112706295 and 112706304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682151 + ... + 1682217.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^112706328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112706328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

112706328 is an abundant number, since it is smaller than the sum of its proper divisors (263306472).

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

112706328 is a wasteful number, since it uses less digits than its factorization.

112706328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 112706328 is about 10616.3236574626. The cubic root of 112706328 is about 483.0396342787.

The spelling of 112706328 in words is "one hundred twelve million, seven hundred six thousand, three hundred twenty-eight".