288890576 has 80 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 125873664.

The previous prime is 288890543. The next prime is 288890579. The reversal of 288890576 is 675098882.

288890576 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 2×288890576² = 166915529803223552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288890579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282995 + ... + 284013.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2^288890576 is an apocalyptic number.

288890576 is a gapful number since it is divisible by the number (26) 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 288890576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

288890576 is an abundant number, since it is smaller than the sum of its proper divisors (348568624).

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

288890576 is a wasteful number, since it uses less digits than its factorization.

288890576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The square root of 288890576 is about 16996.7813423601. The cubic root of 288890576 is about 661.0654477627.

The spelling of 288890576 in words is "two hundred eighty-eight million, eight hundred ninety thousand, five hundred seventy-six".