288242800 has 30 divisors (see below), whose sum is σ = 692504288. Its totient is φ = 115296960.

The previous prime is 288242791. The next prime is 288242807. The reversal of 288242800 is 8242882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288242807) 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 5 ways as a sum of consecutive naturals, for example, 359904 + ... + 360703.

Almost surely, 2^288242800 is an apocalyptic number.

288242800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288242800 is an abundant number, since it is smaller than the sum of its proper divisors (404261488).

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

288242800 is a wasteful number, since it uses less digits than its factorization.

288242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720625 (or 720614 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 288242800 is about 16977.7148050025. The cubic root of 288242800 is about 660.5709781925.

The spelling of 288242800 in words is "two hundred eighty-eight million, two hundred forty-two thousand, eight hundred".