8628768 has 60 divisors (see below), whose sum is σ = 25384590. Its totient is φ = 2875392.

The previous prime is 8628751. The next prime is 8628773. The reversal of 8628768 is 8678268.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 944784 = 2772^2 + 972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 928 + ... + 4256.

Almost surely, 2^8628768 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 8628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692295).

8628768 is an abundant number, since it is smaller than the sum of its proper divisors (16755822).

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

8628768 is a wasteful number, since it uses less digits than its factorization.

8628768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3334 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 8628768 is about 2937.4764679909. The cubic root of 8628768 is about 205.1081562927.

The spelling of 8628768 in words is "eight million, six hundred twenty-eight thousand, seven hundred sixty-eight".