208288 has 24 divisors (see below), whose sum is σ = 429408. Its totient is φ = 99264.

The previous prime is 208283. The next prime is 208291. The reversal of 208288 is 882802.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (208283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (17892).

2²⁰⁸²⁸⁸ 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 208288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214704).

208288 is an abundant number, since it is smaller than the sum of its proper divisors (221120).

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

208288 is a wasteful number, since it uses less digits than its factorization.

208288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

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

The square root of 208288 is about 456.3858017073. The cubic root of 208288 is about 59.2772548741.

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

The spelling of 208288 in words is "two hundred eight thousand, two hundred eighty-eight".