288008 has 32 divisors (see below), whose sum is σ = 638400. Its totient is φ = 119232.

The previous prime is 288007. The next prime is 288023. The reversal of 288008 is 800882.

288008 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (288007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2003 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2²⁸⁸⁰⁰⁸ is an apocalyptic number.

288008 is a gapful number since it is divisible by the number (28) 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 288008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319200).

288008 is an abundant number, since it is smaller than the sum of its proper divisors (350392).

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

288008 is a wasteful number, since it uses less digits than its factorization.

288008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 288008 is about 536.6637681081. The cubic root of 288008 is about 66.0391564402.

It can be divided in two parts, 28800 and 8, that multiplied together give a square (230400 = 480²).

The spelling of 288008 in words is "two hundred eighty-eight thousand, eight".