288200 has 48 divisors (see below), whose sum is σ = 736560. Its totient is φ = 104000.

The previous prime is 288199. The next prime is 288203. The reversal of 288200 is 2882.

288200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (288203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2135 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2²⁸⁸²⁰⁰ is an apocalyptic number.

288200 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 288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368280).

288200 is an abundant number, since it is smaller than the sum of its proper divisors (448360).

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

288200 is a wasteful number, since it uses less digits than its factorization.

288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 288200 is about 536.8426212588. The cubic root of 288200 is about 66.0538281409.

Multiplying 288200 by its reverse (2882), we get a square (830592400 = 28820²).

288200 divided by its reverse (2882) gives a square (100 = 10²).

It can be divided in two parts, 288 and 200, that multiplied together give a square (57600 = 240²).

The spelling of 288200 in words is "two hundred eighty-eight thousand, two hundred".