28636745800 has 144 divisors (see below), whose sum is σ = 72271183500. Its totient is φ = 10547896320.

The previous prime is 28636745779. The next prime is 28636745857. The reversal of 28636745800 is 854763682.

It can be written as a sum of positive squares in 18 ways, for example, as 16682822244 + 11953923556 = 129162^2 + 109334^2 .

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 35 ways as a sum of consecutive naturals, for example, 19231456 + ... + 19232944.

Almost surely, 2^28636745800 is an apocalyptic number.

28636745800 is a gapful number since it is divisible by the number (20) 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 28636745800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36135591750).

28636745800 is an abundant number, since it is smaller than the sum of its proper divisors (43634437700).

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

28636745800 is a wasteful number, since it uses less digits than its factorization.

28636745800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 28636745800 in words is "twenty-eight billion, six hundred thirty-six million, seven hundred forty-five thousand, eight hundred".