8915280000 has 480 divisors, whose sum is σ = 32632741680. Its totient is φ = 2154240000.

The previous prime is 8915279993. The next prime is 8915280001. The reversal of 8915280000 is 825198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8915280001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29039847 + ... + 29040153.

Almost surely, 2^8915280000 is an apocalyptic number.

8915280000 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 8915280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316370840).

8915280000 is an abundant number, since it is smaller than the sum of its proper divisors (23717461680).

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

8915280000 is a wasteful number, since it uses less digits than its factorization.

8915280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 8915280000 is about 94420.7604290497. The cubic root of 8915280000 is about 2073.5363947016.

The spelling of 8915280000 in words is "eight billion, nine hundred fifteen million, two hundred eighty thousand".