288323200 has 96 divisors (see below), whose sum is σ = 777093120. Its totient is φ = 104832000.

The previous prime is 288323171. The next prime is 288323201. The reversal of 288323200 is 2323882.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (288323201) 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 11 ways as a sum of consecutive naturals, for example, 31105 + ... + 39295.

It is an arithmetic number, because the mean of its divisors is an integer number (8094720).

Almost surely, 2^288323200 is an apocalyptic number.

288323200 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 288323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388546560).

288323200 is an abundant number, since it is smaller than the sum of its proper divisors (488769920).

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

288323200 is a wasteful number, since it uses less digits than its factorization.

288323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 288323200 is about 16980.0824497409. The cubic root of 288323200 is about 660.6323905035.

The spelling of 288323200 in words is "two hundred eighty-eight million, three hundred twenty-three thousand, two hundred".