288642888 has 48 divisors (see below), whose sum is σ = 786293820. Its totient is φ = 95654016.

The previous prime is 288642877. The next prime is 288642917. The reversal of 288642888 is 888246882.

It can be written as a sum of positive squares in 2 ways, for example, as 285677604 + 2965284 = 16902^2 + 1722^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870 + ... + 24042.

Almost surely, 2^288642888 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 288642888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393146910).

288642888 is an abundant number, since it is smaller than the sum of its proper divisors (497650932).

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

288642888 is a wasteful number, since it uses less digits than its factorization.

288642888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23358 (or 23351 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 288642888 is about 16989.4934591941. The cubic root of 288642888 is about 660.8764664094.

The spelling of 288642888 in words is "two hundred eighty-eight million, six hundred forty-two thousand, eight hundred eighty-eight".