288108 has 36 divisors (see below), whose sum is σ = 746928. Its totient is φ = 93600.

The previous prime is 288089. The next prime is 288109. The reversal of 288108 is 801882.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (288109) by changing a digit.

288108 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 11 ways as a sum of consecutive naturals, for example, 1833 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²⁸⁸¹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

288108 is an abundant number, since it is smaller than the sum of its proper divisors (458820).

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

288108 is a wasteful number, since it uses less digits than its factorization.

288108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 288108 is about 536.7569282273. The cubic root of 288108 is about 66.0467987644.

The spelling of 288108 in words is "two hundred eighty-eight thousand, one hundred eight".