8768228560 has 240 divisors, whose sum is σ = 25899498576. Its totient is φ = 2735824896.

The previous prime is 8768228507. The next prime is 8768228569. The reversal of 8768228560 is 658228678.

It can be written as a sum of positive squares in 8 ways, for example, as 1359839376 + 7408389184 = 36876^2 + 86072^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 8768228498 and 8768228507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768228569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718902 + ... + 3721258.

Almost surely, 2^8768228560 is an apocalyptic number.

8768228560 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 8768228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949749288).

8768228560 is an abundant number, since it is smaller than the sum of its proper divisors (17131270016).

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

8768228560 is a wasteful number, since it uses less digits than its factorization.

8768228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The square root of 8768228560 is about 93638.8197277176. The cubic root of 8768228560 is about 2062.0726115841.

The spelling of 8768228560 in words is "eight billion, seven hundred sixty-eight million, two hundred twenty-eight thousand, five hundred sixty".