288844960 has 96 divisors (see below), whose sum is σ = 730259712. Its totient is φ = 107581440.

The previous prime is 288844931. The next prime is 288844981. The reversal of 288844960 is 69448882.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279645 + ... + 280675.

It is an arithmetic number, because the mean of its divisors is an integer number (7606872).

Almost surely, 2^288844960 is an apocalyptic number.

288844960 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 288844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365129856).

288844960 is an abundant number, since it is smaller than the sum of its proper divisors (441414752).

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

288844960 is a wasteful number, since it uses less digits than its factorization.

288844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 288844960 is about 16995.4393882594. The cubic root of 288844960 is about 661.0306517173.

The spelling of 288844960 in words is "two hundred eighty-eight million, eight hundred forty-four thousand, nine hundred sixty".