28564200 has 144 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 6526080.

The previous prime is 28564189. The next prime is 28564219. The reversal of 28564200 is 246582.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11467 + ... + 13733.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^28564200 is an apocalyptic number.

28564200 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 28564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

28564200 is an abundant number, since it is smaller than the sum of its proper divisors (81116280).

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

28564200 is a wasteful number, since it uses less digits than its factorization.

28564200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28564200 is about 5344.5486245332. The cubic root of 28564200 is about 305.6849249552.

It can be divided in two parts, 2856 and 4200, that added together give a square (7056 = 84²).

The spelling of 28564200 in words is "twenty-eight million, five hundred sixty-four thousand, two hundred".