288890180 has 72 divisors (see below), whose sum is σ = 650682816. Its totient is φ = 107712000.

The previous prime is 288890179. The next prime is 288890183. The reversal of 288890180 is 81098882.

288890180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×288890180² = 166915072200864800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288890183) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 872615 + ... + 872945.

Almost surely, 2^288890180 is an apocalyptic number.

288890180 is a gapful number since it is divisible by the number (20) 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 288890180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325341408).

288890180 is an abundant number, since it is smaller than the sum of its proper divisors (361792636).

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

288890180 is a wasteful number, since it uses less digits than its factorization.

288890180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 288890180 is about 16996.7696930917. The cubic root of 288890180 is about 661.0651457082.

The spelling of 288890180 in words is "two hundred eighty-eight million, eight hundred ninety thousand, one hundred eighty".