8828064 has 144 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2419200.

The previous prime is 8828063. The next prime is 8828077. The reversal of 8828064 is 4608288.

8828064 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (8828063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58389 + ... + 58539.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 2^8828064 is an apocalyptic number.

8828064 is a gapful number since it is divisible by the number (84) 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 8828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

8828064 is an abundant number, since it is smaller than the sum of its proper divisors (21049056).

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

8828064 is a wasteful number, since it uses less digits than its factorization.

8828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8828064 is about 2971.2058158263. The cubic root of 8828064 is about 206.6752592103.

The spelling of 8828064 in words is "eight million, eight hundred twenty-eight thousand, sixty-four".