28646100 has 108 divisors (see below), whose sum is σ = 102639264. Its totient is φ = 6546240.

The previous prime is 28646099. The next prime is 28646119. The reversal of 28646100 is 164682.

28646100 is a `hidden beast` number, since 2 + 8 + 646 + 10 + 0 = 666.

It is a congruent number.

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, 4027 + ... + 8573.

Almost surely, 2^28646100 is an apocalyptic number.

28646100 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 28646100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51319632).

28646100 is an abundant number, since it is smaller than the sum of its proper divisors (73993164).

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

28646100 is a wasteful number, since it uses less digits than its factorization.

28646100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28646100 is about 5352.2051530187. The cubic root of 28646100 is about 305.9768020348.

The spelling of 28646100 in words is "twenty-eight million, six hundred forty-six thousand, one hundred".