288066880 has 112 divisors (see below), whose sum is σ = 719815680. Its totient is φ = 109670400.

The previous prime is 288066871. The next prime is 288066893. The reversal of 288066880 is 88660882.

It is a self number, because there is not a number n which added to its sum of digits gives 288066880.

It is a congruent number.

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, 704116 + ... + 704524.

Almost surely, 2^288066880 is an apocalyptic number.

288066880 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 288066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359907840).

288066880 is an abundant number, since it is smaller than the sum of its proper divisors (431748800).

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

288066880 is a wasteful number, since it uses less digits than its factorization.

288066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 288066880 is about 16972.5331049905. The cubic root of 288066880 is about 660.4365645480.

The spelling of 288066880 in words is "two hundred eighty-eight million, sixty-six thousand, eight hundred eighty".