8828 has 6 divisors (see below), whose sum is σ = 15456. Its totient is φ = 4412.

The previous prime is 8821. The next prime is 8831. The reversal of 8828 is 8288.

8828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 8797 and 8806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (2576).

2⁸⁸²⁸ is an apocalyptic number.

It is an amenable number.

8828 is a deficient number, since it is larger than the sum of its proper divisors (6628).

8828 is a wasteful number, since it uses less digits than its factorization.

8828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2209 counting only the distinct ones).

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

The square root of 8828 is about 93.9574371724. The cubic root of 8828 is about 20.6674759771.

It can be divided in two parts, 882 and 8, that multiplied together give a square (7056 = 84²).

The spelling of 8828 in words is "eight thousand, eight hundred twenty-eight".