8828288 has 64 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 3697152.

The previous prime is 8828279. The next prime is 8828291.

8828288 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52781 + ... + 52947.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^8828288 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 8828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

8828288 is an abundant number, since it is smaller than the sum of its proper divisors (11734912).

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

8828288 is a wasteful number, since it uses less digits than its factorization.

8828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its digits is 131072, while the sum is 44.

The square root of 8828288 is about 2971.2435107207. The cubic root of 8828288 is about 206.6770072292.

The spelling of 8828288 in words is "eight million, eight hundred twenty-eight thousand, two hundred eighty-eight".