288704 has 28 divisors (see below), whose sum is σ = 618744. Its totient is φ = 132864.

The previous prime is 288697. The next prime is 288731. The reversal of 288704 is 407882.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (22098).

2²⁸⁸⁷⁰⁴ 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 288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309372).

288704 is an abundant number, since it is smaller than the sum of its proper divisors (330040).

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

288704 is a wasteful number, since it uses less digits than its factorization.

288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 288704 is about 537.3118275266. The cubic root of 288704 is about 66.0923103776.

The spelling of 288704 in words is "two hundred eighty-eight thousand, seven hundred four".