8097727292928 has 3600 divisors, whose sum is σ = 34397047800720. Its totient is φ = 1878160048128.

The previous prime is 8097727292927. The next prime is 8097727293017. The reversal of 8097727292928 is 8292927277908.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8097727292923) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 110927771100 + ... + 110927771172.

Almost surely, 2^{8097727292928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8097727292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198523900360).

8097727292928 is an abundant number, since it is smaller than the sum of its proper divisors (26299320507792).

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

8097727292928 is a wasteful number, since it uses less digits than its factorization.

8097727292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 8097727292928 in words is "eight trillion, ninety-seven billion, seven hundred twenty-seven million, two hundred ninety-two thousand, nine hundred twenty-eight".