112889280 has 224 divisors, whose sum is σ = 416088576. Its totient is φ = 25399296.

The previous prime is 112889263. The next prime is 112889281. The reversal of 112889280 is 82988211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112889281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718962 + ... + 719118.

Almost surely, 2^112889280 is an apocalyptic number.

112889280 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 112889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208044288).

112889280 is an abundant number, since it is smaller than the sum of its proper divisors (303199296).

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

112889280 is a wasteful number, since it uses less digits than its factorization.

112889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 112889280 is about 10624.9367056938. The cubic root of 112889280 is about 483.3008597551.

The spelling of 112889280 in words is "one hundred twelve million, eight hundred eighty-nine thousand, two hundred eighty".