288900 has 72 divisors (see below), whose sum is σ = 937440. Its totient is φ = 76320.

The previous prime is 288877. The next prime is 288907. The reversal of 288900 is 9882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 5.

It is a zygodrome in base 3 and base 5.

It is not an unprimeable number, because it can be changed into a prime (288907) by changing a digit.

288900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2647 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²⁸⁸⁹⁰⁰ is an apocalyptic number.

288900 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 288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

288900 is an abundant number, since it is smaller than the sum of its proper divisors (648540).

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

288900 is a wasteful number, since it uses less digits than its factorization.

288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 288900 is about 537.4941860151. The cubic root of 288900 is about 66.1072635966.

The spelling of 288900 in words is "two hundred eighty-eight thousand, nine hundred".