20025040728 has 256 divisors, whose sum is σ = 65882419200. Its totient is φ = 4913948160.

The previous prime is 20025040723. The next prime is 20025040769. The reversal of 20025040728 is 82704052002.

It is a junction number, because it is equal to n+sod(n) for n = 20025040695 and 20025040704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025040723) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19767550 + ... + 19768562.

It is an arithmetic number, because the mean of its divisors is an integer number (257353200).

Almost surely, 2^20025040728 is an apocalyptic number.

20025040728 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 20025040728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32941209600).

20025040728 is an abundant number, since it is smaller than the sum of its proper divisors (45857378472).

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

20025040728 is a wasteful number, since it uses less digits than its factorization.

20025040728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 20025040728 in words is "twenty billion, twenty-five million, forty thousand, seven hundred twenty-eight".