20082664728 has 192 divisors, whose sum is σ = 65647895040. Its totient is φ = 5422044672.

The previous prime is 20082664717. The next prime is 20082664741. The reversal of 20082664728 is 82746628002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 951700 + ... + 972572.

It is an arithmetic number, because the mean of its divisors is an integer number (341916120).

Almost surely, 2^20082664728 is an apocalyptic number.

20082664728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20082664728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32823947520).

20082664728 is an abundant number, since it is smaller than the sum of its proper divisors (45565230312).

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

20082664728 is a wasteful number, since it uses less digits than its factorization.

20082664728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20998 (or 20991 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20082664728 in words is "twenty billion, eighty-two million, six hundred sixty-four thousand, seven hundred twenty-eight".