8482761728 has 176 divisors, whose sum is σ = 20845992960. Its totient is φ = 3367305216.

The previous prime is 8482761719. The next prime is 8482761733. The reversal of 8482761728 is 8271672848.

It is a self number, because there is not a number n which added to its sum of digits gives 8482761728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8163833 + ... + 8164871.

Almost surely, 2^8482761728 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 8482761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422996480).

8482761728 is an abundant number, since it is smaller than the sum of its proper divisors (12363231232).

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

8482761728 is a wasteful number, since it uses less digits than its factorization.

8482761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1132 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 53.

The square root of 8482761728 is about 92101.9094698910. The cubic root of 8482761728 is about 2039.4469960745.

The spelling of 8482761728 in words is "eight billion, four hundred eighty-two million, seven hundred sixty-one thousand, seven hundred twenty-eight".