8273917344 has 384 divisors, whose sum is σ = 28217548800. Its totient is φ = 2103628800.

The previous prime is 8273917321. The next prime is 8273917363. The reversal of 8273917344 is 4437193728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8273917293 and 8273917302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19196809 + ... + 19197239.

It is an arithmetic number, because the mean of its divisors is an integer number (73483200).

Almost surely, 2^8273917344 is an apocalyptic number.

8273917344 is a gapful number since it is divisible by the number (84) 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 8273917344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108774400).

8273917344 is an abundant number, since it is smaller than the sum of its proper divisors (19943631456).

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

8273917344 is a wasteful number, since it uses less digits than its factorization.

8273917344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 8273917344 is about 90961.0759830819. The cubic root of 8273917344 is about 2022.5707673603.

The spelling of 8273917344 in words is "eight billion, two hundred seventy-three million, nine hundred seventeen thousand, three hundred forty-four".