288868008 has 128 divisors (see below), whose sum is σ = 860791680. Its totient is φ = 79626240.

The previous prime is 288867989. The next prime is 288868009. The reversal of 288868008 is 800868882.

It is not an unprimeable number, because it can be changed into a prime (288868009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249960 + ... + 251112.

It is an arithmetic number, because the mean of its divisors is an integer number (6724935).

Almost surely, 2^288868008 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 288868008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430395840).

288868008 is an abundant number, since it is smaller than the sum of its proper divisors (571923672).

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

288868008 is a wasteful number, since it uses less digits than its factorization.

288868008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 288868008 is about 16996.1174389918. The cubic root of 288868008 is about 661.0482332707.

The spelling of 288868008 in words is "two hundred eighty-eight million, eight hundred sixty-eight thousand, eight".