8288 has 24 divisors (see below), whose sum is σ = 19152. Its totient is φ = 3456.

The previous prime is 8287. The next prime is 8291. The reversal of 8288 is 8828.

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

It is a d-powerful number, because it can be written as 8² + 8⁴ + 2⁵ + 8⁴ .

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2⁸²⁸⁸ 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 8288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576).

8288 is an abundant number, since it is smaller than the sum of its proper divisors (10864).

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

8288 is a wasteful number, since it uses less digits than its factorization.

8288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 8288 is about 91.0384534139. The cubic root of 8288 is about 20.2371762531.

It can be divided in two parts, 8 and 288, that multiplied together give a square (2304 = 48²).

The spelling of 8288 in words is "eight thousand, two hundred eighty-eight".