82288 has 20 divisors (see below), whose sum is σ = 164920. Its totient is φ = 39744.

The previous prime is 82279. The next prime is 82301. The reversal of 82288 is 88228.

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

It is a congruent number.

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, 523 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2⁸²²⁸⁸ is an apocalyptic number.

It is an amenable number.

82288 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460).

82288 is a wasteful number, since it uses less digits than its factorization.

82288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

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

The square root of 82288 is about 286.8588503080. The cubic root of 82288 is about 43.4956176499.

The spelling of 82288 in words is "eighty-two thousand, two hundred eighty-eight".