28283600 has 30 divisors (see below), whose sum is σ = 67952310. Its totient is φ = 11313280.

The previous prime is 28283599. The next prime is 28283617. The reversal of 28283600 is 638282.

It can be written as a sum of positive squares in 3 ways, for example, as 7997584 + 20286016 = 2828^2 + 4504^2 .

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 5 ways as a sum of consecutive naturals, for example, 34955 + ... + 35754.

It is an arithmetic number, because the mean of its divisors is an integer number (2265077).

Almost surely, 2^28283600 is an apocalyptic number.

28283600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28283600 is an abundant number, since it is smaller than the sum of its proper divisors (39668710).

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

28283600 is a wasteful number, since it uses less digits than its factorization.

28283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70727 (or 70716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 28283600 is about 5318.2327891885. The cubic root of 28283600 is about 304.6806655053.

The spelling of 28283600 in words is "twenty-eight million, two hundred eighty-three thousand, six hundred".