28275200 has 90 divisors (see below), whose sum is σ = 71576241. Its totient is φ = 11069440.

The previous prime is 28275179. The next prime is 28275223. The reversal of 28275200 is 257282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 565504 = 5264^2 + 752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3760.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28275200.

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 8 ways as a sum of consecutive naturals, for example, 601577 + ... + 601623.

Almost surely, 2^28275200 is an apocalyptic number.

28275200 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 28275200

28275200 is an abundant number, since it is smaller than the sum of its proper divisors (43301041).

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

28275200 is an frugal number, since it uses more digits than its factorization.

28275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 28275200 is about 5317.4429945228. The cubic root of 28275200 is about 304.6504999559.

The spelling of 28275200 in words is "twenty-eight million, two hundred seventy-five thousand, two hundred".