288816 has 40 divisors (see below), whose sum is σ = 815424. Its totient is φ = 87360.

The previous prime is 288803. The next prime is 288817. The reversal of 288816 is 618882.

288816 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 (33).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288817) by changing a digit.

288816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 801.

2²⁸⁸⁸¹⁶ 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 288816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407712).

288816 is an abundant number, since it is smaller than the sum of its proper divisors (526608).

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

288816 is a wasteful number, since it uses less digits than its factorization.

288816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 288816 is about 537.4160399541. The cubic root of 288816 is about 66.1008559026.

The spelling of 288816 in words is "two hundred eighty-eight thousand, eight hundred sixteen".