288316800 has 384 divisors, whose sum is σ = 1092787200. Its totient is φ = 74188800.

The previous prime is 288316793. The next prime is 288316801. The reversal of 288316800 is 8613882.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288316801) 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 47 ways as a sum of consecutive naturals, for example, 4060765 + ... + 4060835.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2^288316800 is an apocalyptic number.

288316800 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 288316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

288316800 is an abundant number, since it is smaller than the sum of its proper divisors (804470400).

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

288316800 is a wasteful number, since it uses less digits than its factorization.

288316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288316800 is about 16979.8939926020. The cubic root of 288316800 is about 660.6275023796.

It can be divided in two parts, 2883 and 16800, that added together give a 9-th power (19683 = 3⁹).

The spelling of 288316800 in words is "two hundred eighty-eight million, three hundred sixteen thousand, eight hundred".