288916000 has 48 divisors (see below), whose sum is σ = 709876440. Its totient is φ = 115564800.

The previous prime is 288915967. The next prime is 288916013. The reversal of 288916000 is 619882.

288916000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38390416 + 250525584 = 6196^2 + 15828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32115 + ... + 40114.

Almost surely, 2^288916000 is an apocalyptic number.

288916000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288916000 is an abundant number, since it is smaller than the sum of its proper divisors (420960440).

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

288916000 is an equidigital number, since it uses as much as digits as its factorization.

288916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72254 (or 72236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 288916000 is about 16997.5292322149. The cubic root of 288916000 is about 661.0848396897.

The spelling of 288916000 in words is "two hundred eighty-eight million, nine hundred sixteen thousand".