8807328 has 72 divisors (see below), whose sum is σ = 25562628. Its totient is φ = 2875392.

The previous prime is 8807311. The next prime is 8807341. The reversal of 8807328 is 8237088.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 1774224 = 2652^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 8807292 and 8807301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14976 + ... + 15552.

Almost surely, 2^8807328 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 8807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781314).

8807328 is an abundant number, since it is smaller than the sum of its proper divisors (16755300).

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

8807328 is a wasteful number, since it uses less digits than its factorization.

8807328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8807328 is about 2967.7142719608. The cubic root of 8807328 is about 206.5133143786.

The spelling of 8807328 in words is "eight million, eight hundred seven thousand, three hundred twenty-eight".