8561312928 has 240 divisors, whose sum is σ = 29137570560. Its totient is φ = 2445496704.

The previous prime is 8561312917. The next prime is 8561312933. The reversal of 8561312928 is 8292131658.

8561312928 is a `hidden beast` number, since 8 + 5 + 613 + 1 + 2 + 9 + 28 = 666.

It is a super-2 number, since 2×8561312928² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2072401 + ... + 2076527.

It is an arithmetic number, because the mean of its divisors is an integer number (121406544).

Almost surely, 2^8561312928 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 8561312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568785280).

8561312928 is an abundant number, since it is smaller than the sum of its proper divisors (20576257632).

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

8561312928 is an equidigital number, since it uses as much as digits as its factorization.

8561312928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4139 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 8561312928 is about 92527.3631311300. The cubic root of 8561312928 is about 2045.7228234524.

It can be divided in two parts, 8561 and 312928, that added together give a square (321489 = 567²).

The spelling of 8561312928 in words is "eight billion, five hundred sixty-one million, three hundred twelve thousand, nine hundred twenty-eight".