8928884560 has 80 divisors (see below), whose sum is σ = 21194246160. Its totient is φ = 3497062400.

The previous prime is 8928884557. The next prime is 8928884563. The reversal of 8928884560 is 654888298.

It is an interprime number because it is at equal distance from previous prime (8928884557) and next prime (8928884563).

It can be written as a sum of positive squares in 8 ways, for example, as 315559696 + 8613324864 = 17764^2 + 92808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8928884495 and 8928884504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8928884563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410710 + ... + 2414410.

It is an arithmetic number, because the mean of its divisors is an integer number (264928077).

Almost surely, 2^8928884560 is an apocalyptic number.

8928884560 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 8928884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597123080).

8928884560 is an abundant number, since it is smaller than the sum of its proper divisors (12265361600).

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

8928884560 is a wasteful number, since it uses less digits than its factorization.

8928884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The square root of 8928884560 is about 94492.7751735549. The cubic root of 8928884560 is about 2074.5905853104.

The spelling of 8928884560 in words is "eight billion, nine hundred twenty-eight million, eight hundred eighty-four thousand, five hundred sixty".