8273992320 has 1024 divisors, whose sum is σ = 35251200000. Its totient is φ = 1811496960.

The previous prime is 8273992289. The next prime is 8273992387. The reversal of 8273992320 is 232993728.

8273992320 is a `hidden beast` number, since 8 + 27 + 399 + 232 + 0 = 666.

It is a super-2 number, since 2×8273992320² (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 127 ways as a sum of consecutive naturals, for example, 104734041 + ... + 104734119.

It is an arithmetic number, because the mean of its divisors is an integer number (34425000).

Almost surely, 2^8273992320 is an apocalyptic number.

8273992320 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 8273992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600000).

8273992320 is an abundant number, since it is smaller than the sum of its proper divisors (26977207680).

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

8273992320 is a wasteful number, since it uses less digits than its factorization.

8273992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8273992320 is about 90961.4881144762. The cubic root of 8273992320 is about 2022.5768766715.

The spelling of 8273992320 in words is "eight billion, two hundred seventy-three million, nine hundred ninety-two thousand, three hundred twenty".