8289280000 has 140 divisors (see below), whose sum is σ = 20728099260. Its totient is φ = 3313664000.

The previous prime is 8289279959. The next prime is 8289280037. The reversal of 8289280000 is 829828.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5119191 + ... + 5120809.

Almost surely, 2^8289280000 is an apocalyptic number.

8289280000 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 8289280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10364049630).

8289280000 is an abundant number, since it is smaller than the sum of its proper divisors (12438819260).

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

8289280000 is an frugal number, since it uses more digits than its factorization.

8289280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8289280000 is about 91045.4831389235. The cubic root of 8289280000 is about 2023.8218010350.

The spelling of 8289280000 in words is "eight billion, two hundred eighty-nine million, two hundred eighty thousand".