8928890880 has 416 divisors, whose sum is σ = 35183817984. Its totient is φ = 1882718208.

The previous prime is 8928890879. The next prime is 8928890891. The reversal of 8928890880 is 880988298.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590242 + ... + 5591838.

Almost surely, 2^8928890880 is an apocalyptic number.

8928890880 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 8928890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591908992).

8928890880 is an abundant number, since it is smaller than the sum of its proper divisors (26254927104).

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

8928890880 is a wasteful number, since it uses less digits than its factorization.

8928890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The square root of 8928890880 is about 94492.8086152592. The cubic root of 8928890880 is about 2074.5910747859.

The spelling of 8928890880 in words is "eight billion, nine hundred twenty-eight million, eight hundred ninety thousand, eight hundred eighty".