28568312600 has 144 divisors (see below), whose sum is σ = 71101275120. Its totient is φ = 10671494400.

The previous prime is 28568312569. The next prime is 28568312603. The reversal of 28568312600 is 621386582.

It is a super-2 number, since 2×28568312600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28568312603) 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 35 ways as a sum of consecutive naturals, for example, 5123414 + ... + 5128986.

It is an arithmetic number, because the mean of its divisors is an integer number (493758855).

Almost surely, 2^28568312600 is an apocalyptic number.

28568312600 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 28568312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35550637560).

28568312600 is an abundant number, since it is smaller than the sum of its proper divisors (42532962520).

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

28568312600 is a wasteful number, since it uses less digits than its factorization.

28568312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 28568312600 in words is "twenty-eight billion, five hundred sixty-eight million, three hundred twelve thousand, six hundred".