112828538880 has 336 divisors, whose sum is σ = 392583338784. Its totient is φ = 29974855680.

The previous prime is 112828538839. The next prime is 112828538891. The reversal of 112828538880 is 88835828211.

112828538880 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 28 + 538 + 8 + 80 = 666.

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, 155197077 + ... + 155197803.

It is an arithmetic number, because the mean of its divisors is an integer number (1168402794).

Almost surely, 2^112828538880 is an apocalyptic number.

112828538880 is a gapful number since it is divisible by the number (10) 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 112828538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196291669392).

112828538880 is an abundant number, since it is smaller than the sum of its proper divisors (279754799904).

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

112828538880 is an equidigital number, since it uses as much as digits as its factorization.

112828538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 112828538880 in words is "one hundred twelve billion, eight hundred twenty-eight million, five hundred thirty-eight thousand, eight hundred eighty".