8048071728 has 120 divisors (see below), whose sum is σ = 23934660048. Its totient is φ = 2515746816.

The previous prime is 8048071697. The next prime is 8048071739. The reversal of 8048071728 is 8271708408.

8048071728 is a `hidden beast` number, since 80 + 480 + 71 + 7 + 28 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 686976 + ... + 698592.

Almost surely, 2^8048071728 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 8048071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967330024).

8048071728 is an abundant number, since it is smaller than the sum of its proper divisors (15886588320).

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

8048071728 is a wasteful number, since it uses less digits than its factorization.

8048071728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 8048071728 is about 89711.0457413133. The cubic root of 8048071728 is about 2003.9979800857.

The spelling of 8048071728 in words is "eight billion, forty-eight million, seventy-one thousand, seven hundred twenty-eight".