8272901728 has 192 divisors, whose sum is σ = 20506711680. Its totient is φ = 3198615552.

The previous prime is 8272901699. The next prime is 8272901737. The reversal of 8272901728 is 8271092728.

It is a happy number.

It is a super-2 number, since 2×8272901728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35505900 + ... + 35506132.

It is an arithmetic number, because the mean of its divisors is an integer number (106805790).

Almost surely, 2^8272901728 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 8272901728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253355840).

8272901728 is an abundant number, since it is smaller than the sum of its proper divisors (12233809952).

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

8272901728 is a wasteful number, since it uses less digits than its factorization.

8272901728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 8272901728 is about 90955.4931161390. The cubic root of 8272901728 is about 2022.4880077193.

The spelling of 8272901728 in words is "eight billion, two hundred seventy-two million, nine hundred one thousand, seven hundred twenty-eight".