4288 has 14 divisors (see below), whose sum is σ = 8636. Its totient is φ = 2112.

The previous prime is 4283. The next prime is 4289. The reversal of 4288 is 8824.

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 4³ + 8² + 2¹² + 8² .

It is not an unprimeable number, because it can be changed into a prime (4283) 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 as a sum of consecutive naturals, namely, 31 + ... + 97.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318).

4288 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.

4288 is an equidigital number, since it uses as much as digits as its factorization.

4288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 4288 is about 65.4828221750. The cubic root of 4288 is about 16.2461924018.

It can be divided in two parts, 4 and 288, that added together give a palindrome (292).

The spelling of 4288 in words is "four thousand, two hundred eighty-eight".