8272048128 has 104 divisors (see below), whose sum is σ = 22526953728. Its totient is φ = 2698493952.

The previous prime is 8272048121. The next prime is 8272048133. The reversal of 8272048128 is 8218402728.

It is a self number, because there is not a number n which added to its sum of digits gives 8272048128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272048121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570375 + ... + 584697.

Almost surely, 2^8272048128 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 8272048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263476864).

8272048128 is an abundant number, since it is smaller than the sum of its proper divisors (14254905600).

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

8272048128 is a wasteful number, since it uses less digits than its factorization.

8272048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14397 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 8272048128 is about 90950.8005902092. The cubic root of 8272048128 is about 2022.4184450596.

The spelling of 8272048128 in words is "eight billion, two hundred seventy-two million, forty-eight thousand, one hundred twenty-eight".