28680973128 has 96 divisors (see below), whose sum is σ = 81689549760. Its totient is φ = 9425626560.

The previous prime is 28680973121. The next prime is 28680973163. The reversal of 28680973128 is 82137908682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28680973121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34126 + ... + 241922.

It is an arithmetic number, because the mean of its divisors is an integer number (850932810).

Almost surely, 2^28680973128 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 28680973128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40844774880).

28680973128 is an abundant number, since it is smaller than the sum of its proper divisors (53008576632).

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

28680973128 is a wasteful number, since it uses less digits than its factorization.

28680973128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207889 (or 207873 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 28680973128 in words is "twenty-eight billion, six hundred eighty million, nine hundred seventy-three thousand, one hundred twenty-eight".