288332920 has 32 divisors (see below), whose sum is σ = 686912400. Its totient is φ = 108548608.

The previous prime is 288332893. The next prime is 288332927. The reversal of 288332920 is 29233882.

It is a happy number.

288332920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 288332920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288332927) 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, 211330 + ... + 212689.

Almost surely, 2^288332920 is an apocalyptic number.

288332920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288332920 is an abundant number, since it is smaller than the sum of its proper divisors (398579480).

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

288332920 is a wasteful number, since it uses less digits than its factorization.

288332920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424047 (or 424043 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 288332920 is about 16980.3686650202. The cubic root of 288332920 is about 660.6398142033.

The spelling of 288332920 in words is "two hundred eighty-eight million, three hundred thirty-two thousand, nine hundred twenty".