8828820 has 288 divisors, whose sum is σ = 36691200. Its totient is φ = 1693440.

The previous prime is 8828801. The next prime is 8828857. The reversal of 8828820 is 288288.

8828820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679134 + ... + 679146.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 2^8828820 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 8828820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

8828820 is an abundant number, since it is smaller than the sum of its proper divisors (27862380).

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

8828820 is a wasteful number, since it uses less digits than its factorization.

8828820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8828820 is about 2971.3330341784. Note that the first 3 decimals coincide. The cubic root of 8828820 is about 206.6811586554.

It can be divided in two parts, 8 and 828820, that added together give a palindrome (828828).

The spelling of 8828820 in words is "eight million, eight hundred twenty-eight thousand, eight hundred twenty".