8191225728 has 432 divisors, whose sum is σ = 28520111880. Its totient is φ = 2249856000.

The previous prime is 8191225709. The next prime is 8191225739. The reversal of 8191225728 is 8275221918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54246453 + ... + 54246603.

Almost surely, 2^8191225728 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 8191225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14260055940).

8191225728 is an abundant number, since it is smaller than the sum of its proper divisors (20328886152).

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

8191225728 is a wasteful number, since it uses less digits than its factorization.

8191225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 194 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 8191225728 is about 90505.3906018863. The cubic root of 8191225728 is about 2015.8101673105.

The spelling of 8191225728 in words is "eight billion, one hundred ninety-one million, two hundred twenty-five thousand, seven hundred twenty-eight".