288912 has 40 divisors (see below), whose sum is σ = 805504. Its totient is φ = 88704.

The previous prime is 288907. The next prime is 288913. The reversal of 288912 is 219882.

288912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 288912.

It is not an unprimeable number, because it can be changed into a prime (288913) by changing a digit.

288912 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 7 ways as a sum of consecutive naturals, for example, 393 + ... + 855.

2²⁸⁸⁹¹² 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 288912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402752).

288912 is an abundant number, since it is smaller than the sum of its proper divisors (516592).

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

288912 is a wasteful number, since it uses less digits than its factorization.

288912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 288912 is about 537.5053488106. The cubic root of 288912 is about 66.1081788801.

Subtracting from 288912 its sum of digits (30), we obtain a palindrome (288882).

The spelling of 288912 in words is "two hundred eighty-eight thousand, nine hundred twelve".