288208 has 10 divisors (see below), whose sum is σ = 558434. Its totient is φ = 144096.

The previous prime is 288203. The next prime is 288209. The reversal of 288208 is 802882.

It can be written as a sum of positive squares in only one way, i.e., 283024 + 5184 = 532^2 + 72^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288203) by changing a digit.

288208 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 as a sum of consecutive naturals, namely, 8991 + ... + 9022.

2²⁸⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

288208 is a deficient number, since it is larger than the sum of its proper divisors (270226).

288208 is a wasteful number, since it uses less digits than its factorization.

288208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18021 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 288208 is about 536.8500721803. The cubic root of 288208 is about 66.0544393203.

It can be divided in two parts, 288 and 208, that added together give a triangular number (496 = T₃₁).

The spelling of 288208 in words is "two hundred eighty-eight thousand, two hundred eight".