288864000 has 432 divisors, whose sum is σ = 1119212640. Its totient is φ = 71270400.

The previous prime is 288863989. The next prime is 288864013. The reversal of 288864000 is 468882.

288864000 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4895971 + ... + 4896029.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^288864000 is an apocalyptic number.

288864000 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 288864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559606320).

288864000 is an abundant number, since it is smaller than the sum of its proper divisors (830348640).

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

288864000 is a wasteful number, since it uses less digits than its factorization.

288864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 288864000 is about 16995.9995293010. Note that the first 3 decimals coincide. The cubic root of 288864000 is about 661.0451759417.

The spelling of 288864000 in words is "two hundred eighty-eight million, eight hundred sixty-four thousand".