8090728128 has 168 divisors, whose sum is σ = 28062826272. Its totient is φ = 2175639552.

The previous prime is 8090728123. The next prime is 8090728157. The reversal of 8090728128 is 8218270908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (8090728123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9526 + ... + 127562.

Almost surely, 2^8090728128 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 8090728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031413136).

8090728128 is an abundant number, since it is smaller than the sum of its proper divisors (19972098144).

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

8090728128 is a wasteful number, since it uses less digits than its factorization.

8090728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118079 (or 118066 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8090728128 is about 89948.4748508834. The cubic root of 8090728128 is about 2007.5322741444.

The spelling of 8090728128 in words is "eight billion, ninety million, seven hundred twenty-eight thousand, one hundred twenty-eight".