288294880 has 48 divisors (see below), whose sum is σ = 710718624. Its totient is φ = 110302720.

The previous prime is 288294871. The next prime is 288294883. The reversal of 288294880 is 88492882.

It is a super-2 number, since 2×288294880² = 166227875668428800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288294883) 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 7 ways as a sum of consecutive naturals, for example, 35491 + ... + 42850.

It is an arithmetic number, because the mean of its divisors is an integer number (14806638).

Almost surely, 2^288294880 is an apocalyptic number.

288294880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288294880 is an abundant number, since it is smaller than the sum of its proper divisors (422423744).

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

288294880 is a wasteful number, since it uses less digits than its factorization.

288294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78379 (or 78371 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 288294880 is about 16979.2485110502. The cubic root of 288294880 is about 660.6107600070.

The spelling of 288294880 in words is "two hundred eighty-eight million, two hundred ninety-four thousand, eight hundred eighty".