288500 has 24 divisors (see below), whose sum is σ = 631176. Its totient is φ = 115200.

The previous prime is 288499. The next prime is 288527. The reversal of 288500 is 5882.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 283024 = 74^2 + 532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (26299).

2²⁸⁸⁵⁰⁰ is an apocalyptic number.

288500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315588).

288500 is an abundant number, since it is smaller than the sum of its proper divisors (342676).

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

288500 is a wasteful number, since it uses less digits than its factorization.

288500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 288500 is about 537.1219600798. The cubic root of 288500 is about 66.0767396336.

The spelling of 288500 in words is "two hundred eighty-eight thousand, five hundred".