288870624 has 336 divisors, whose sum is σ = 1024621920. Its totient is φ = 78382080.

The previous prime is 288870583. The next prime is 288870683. The reversal of 288870624 is 426078882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 288870624.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 4735554 + ... + 4735614.

It is an arithmetic number, because the mean of its divisors is an integer number (3049470).

Almost surely, 2^288870624 is an apocalyptic number.

288870624 is a gapful number since it is divisible by the number (24) 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 288870624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512310960).

288870624 is an abundant number, since it is smaller than the sum of its proper divisors (735751296).

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

288870624 is an equidigital number, since it uses as much as digits as its factorization.

288870624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 288870624 is about 16996.1943975703. The cubic root of 288870624 is about 661.0502287575.

The spelling of 288870624 in words is "two hundred eighty-eight million, eight hundred seventy thousand, six hundred twenty-four".