8828800 has 96 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 3379200.

The previous prime is 8828777. The next prime is 8828801. The reversal of 8828800 is 88288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8828801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99156 + ... + 99244.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^8828800 is an apocalyptic number.

8828800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

8828800 is an abundant number, since it is smaller than the sum of its proper divisors (13937600).

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

8828800 is a wasteful number, since it uses less digits than its factorization.

8828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 8828800 is about 2971.3296686837. The cubic root of 8828800 is about 206.6810025898.

Multiplying 8828800 by its reverse (88288), we get a square (779477094400 = 882880²).

8828800 divided by its reverse (88288) gives a square (100 = 10²).

The spelling of 8828800 in words is "eight million, eight hundred twenty-eight thousand, eight hundred".