8052265728 has 252 divisors, whose sum is σ = 25960149040. Its totient is φ = 2476873728.

The previous prime is 8052265723. The next prime is 8052265763. The reversal of 8052265728 is 8275622508.

8052265728 is a `hidden beast` number, since 8 + 0 + 52 + 26 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052265723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2424453 + ... + 2427771.

Almost surely, 2^8052265728 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 8052265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980074520).

8052265728 is an abundant number, since it is smaller than the sum of its proper divisors (17907883312).

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

8052265728 is an equidigital number, since it uses as much as digits as its factorization.

8052265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8052265728 is about 89734.4177448096. The cubic root of 8052265728 is about 2004.3460265195.

The spelling of 8052265728 in words is "eight billion, fifty-two million, two hundred sixty-five thousand, seven hundred twenty-eight".