288434688 has 80 divisors (see below), whose sum is σ = 778462080. Its totient is φ = 94887936.

The previous prime is 288434681. The next prime is 288434701. The reversal of 288434688 is 886434882.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 288434688.

It is not an unprimeable number, because it can be changed into a prime (288434681) 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, 120156 + ... + 122532.

It is an arithmetic number, because the mean of its divisors is an integer number (9730776).

Almost surely, 2^288434688 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 288434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389231040).

288434688 is an abundant number, since it is smaller than the sum of its proper divisors (490027392).

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

288434688 is an equidigital number, since it uses as much as digits as its factorization.

288434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2461 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 288434688 is about 16983.3650375890. The cubic root of 288434688 is about 660.7175300191.

The spelling of 288434688 in words is "two hundred eighty-eight million, four hundred thirty-four thousand, six hundred eighty-eight".