288642816 has 216 divisors, whose sum is σ = 1038221184. Its totient is φ = 74926080.

The previous prime is 288642811. The next prime is 288642841. The reversal of 288642816 is 618246882.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288642811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176595 + ... + 178221.

Almost surely, 2^288642816 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 288642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519110592).

288642816 is an abundant number, since it is smaller than the sum of its proper divisors (749578368).

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

288642816 is a wasteful number, since it uses less digits than its factorization.

288642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1650 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 288642816 is about 16989.4913402374. The cubic root of 288642816 is about 660.8764114590.

The spelling of 288642816 in words is "two hundred eighty-eight million, six hundred forty-two thousand, eight hundred sixteen".