8069005728 has 768 divisors, whose sum is σ = 30656102400. Its totient is φ = 2011806720.

The previous prime is 8069005699. The next prime is 8069005729. The reversal of 8069005728 is 8275009608.

It is not an unprimeable number, because it can be changed into a prime (8069005729) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113647933 + ... + 113648003.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^8069005728 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 8069005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328051200).

8069005728 is an abundant number, since it is smaller than the sum of its proper divisors (22587096672).

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

8069005728 is a wasteful number, since it uses less digits than its factorization.

8069005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8069005728 is about 89827.6445644658. The cubic root of 8069005728 is about 2005.7340221178.

The spelling of 8069005728 in words is "eight billion, sixty-nine million, five thousand, seven hundred twenty-eight".