288868840 has 64 divisors (see below), whose sum is σ = 716284800. Its totient is φ = 104170752.

The previous prime is 288868831. The next prime is 288868841. The reversal of 288868840 is 48868882.

It is a happy number.

288868840 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 (52).

It is not an unprimeable number, because it can be changed into a prime (288868841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15901 + ... + 28819.

It is an arithmetic number, because the mean of its divisors is an integer number (11191950).

Almost surely, 2^288868840 is an apocalyptic number.

288868840 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 288868840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358142400).

288868840 is an abundant number, since it is smaller than the sum of its proper divisors (427415960).

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

288868840 is a wasteful number, since it uses less digits than its factorization.

288868840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 52.

The square root of 288868840 is about 16996.1419151524. The cubic root of 288868840 is about 661.0488679222.

The spelling of 288868840 in words is "two hundred eighty-eight million, eight hundred sixty-eight thousand, eight hundred forty".