8945009280 has 256 divisors, whose sum is σ = 32281286400. Its totient is φ = 2340089856.

The previous prime is 8945009273. The next prime is 8945009303. The reversal of 8945009280 is 829005498.

It is a super-2 number, since 2×8945009280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910957 + ... + 920723.

It is an arithmetic number, because the mean of its divisors is an integer number (126098775).

Almost surely, 2^8945009280 is an apocalyptic number.

8945009280 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 8945009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140643200).

8945009280 is an abundant number, since it is smaller than the sum of its proper divisors (23336277120).

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

8945009280 is a wasteful number, since it uses less digits than its factorization.

8945009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9830 counting only the distinct ones).

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

The square root of 8945009280 is about 94578.0591892221. The cubic root of 8945009280 is about 2075.8386723510.

The spelling of 8945009280 in words is "eight billion, nine hundred forty-five million, nine thousand, two hundred eighty".