28564380100 has 27 divisors (see below), whose sum is σ = 61988372551. Its totient is φ = 11425076000.

The previous prime is 28564380079. The next prime is 28564380149. The reversal of 28564380100 is 108346582.

It is a happy number.

The square root of 28564380100 is 169010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9863270596 + 18701109504 = 99314^2 + 136752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28564380100.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1681650 + ... + 1698550.

Almost surely, 2^28564380100 is an apocalyptic number.

28564380100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28564380100 is the 169010-th square number.

It is an amenable number.

28564380100 is an abundant number, since it is smaller than the sum of its proper divisors (33423992451).

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

28564380100 is an frugal number, since it uses more digits than its factorization.

28564380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 28564380100 in words is "twenty-eight billion, five hundred sixty-four million, three hundred eighty thousand, one hundred".