28855200 has 144 divisors (see below), whose sum is σ = 102555936. Its totient is φ = 6988800.

The previous prime is 28855163. The next prime is 28855213. The reversal of 28855200 is 255882.

28855200 = T₂₂₈₅ + T₂₂₈₆ + ... + T₂₂₉₅.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25854 + ... + 26946.

It is an arithmetic number, because the mean of its divisors is an integer number (712194).

Almost surely, 2^28855200 is an apocalyptic number.

28855200 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 28855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51277968).

28855200 is an abundant number, since it is smaller than the sum of its proper divisors (73700736).

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

28855200 is a wasteful number, since it uses less digits than its factorization.

28855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 28855200 is about 5371.7036403733. The cubic root of 28855200 is about 306.7194826066.

The spelling of 28855200 in words is "twenty-eight million, eight hundred fifty-five thousand, two hundred".