28664836200 has 768 divisors, whose sum is σ = 132591513600. Its totient is φ = 5497113600.

The previous prime is 28664836181. The next prime is 28664836201. The reversal of 28664836200 is 263846682.

28664836200 is a `hidden beast` number, since 286 + 6 + 4 + 8 + 362 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28664836201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5402749 + ... + 5408051.

It is an arithmetic number, because the mean of its divisors is an integer number (172645200).

Almost surely, 2^28664836200 is an apocalyptic number.

28664836200 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 28664836200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66295756800).

28664836200 is an abundant number, since it is smaller than the sum of its proper divisors (103926677400).

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

28664836200 is a wasteful number, since it uses less digits than its factorization.

28664836200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28664836200 in words is "twenty-eight billion, six hundred sixty-four million, eight hundred thirty-six thousand, two hundred".