288792800 has 72 divisors (see below), whose sum is σ = 707439096. Its totient is φ = 115120640.

The previous prime is 288792797. The next prime is 288792809. The reversal of 288792800 is 8297882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288792809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 373214 + ... + 373986.

It is an arithmetic number, because the mean of its divisors is an integer number (9825543).

Almost surely, 2^288792800 is an apocalyptic number.

288792800 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 288792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353719548).

288792800 is an abundant number, since it is smaller than the sum of its proper divisors (418646296).

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

288792800 is a wasteful number, since it uses less digits than its factorization.

288792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 288792800 is about 16993.9047896591. The cubic root of 288792800 is about 660.9908593959.

The spelling of 288792800 in words is "two hundred eighty-eight million, seven hundred ninety-two thousand, eight hundred".