28564100 has 18 divisors (see below), whose sum is σ = 61984314. Its totient is φ = 11425600.

The previous prime is 28564099. The next prime is 28564103. The reversal of 28564100 is 146582.

It can be written as a sum of positive squares in 3 ways, for example, as 91204 + 28472896 = 302^2 + 5336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28564100.

It is not an unprimeable number, because it can be changed into a prime (28564103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 142721 + ... + 142920.

It is an arithmetic number, because the mean of its divisors is an integer number (3443573).

Almost surely, 2^28564100 is an apocalyptic number.

28564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28564100 is an abundant number, since it is smaller than the sum of its proper divisors (33420214).

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

28564100 is a wasteful number, since it uses less digits than its factorization.

28564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285655 (or 285648 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 28564100 is about 5344.5392691980. The cubic root of 28564100 is about 305.6845682321.

The spelling of 28564100 in words is "twenty-eight million, five hundred sixty-four thousand, one hundred".