189288880 has 80 divisors (see below), whose sum is σ = 508387104. Its totient is φ = 64778240.

The previous prime is 189288859. The next prime is 189288901. The reversal of 189288880 is 88882981.

It is an interprime number because it is at equal distance from previous prime (189288859) and next prime (189288901).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8634 + ... + 21286.

Almost surely, 2^189288880 is an apocalyptic number.

189288880 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 189288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254193552).

189288880 is an abundant number, since it is smaller than the sum of its proper divisors (319098224).

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

189288880 is a wasteful number, since it uses less digits than its factorization.

189288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12694 (or 12688 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 52.

The square root of 189288880 is about 13758.2295372624. The cubic root of 189288880 is about 574.1715909437.

The spelling of 189288880 in words is "one hundred eighty-nine million, two hundred eighty-eight thousand, eight hundred eighty".