28200456 has 72 divisors (see below), whose sum is σ = 78620490. Its totient is φ = 9131520.

The previous prime is 28200449. The next prime is 28200457. The reversal of 28200456 is 65400282.

28200456 is a `hidden beast` number, since 2 + 8 + 200 + 456 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5447556 + 22752900 = 2334^2 + 4770^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (28200457) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 120916 + ... + 121148.

Almost surely, 2^28200456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28200456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39310245).

28200456 is an abundant number, since it is smaller than the sum of its proper divisors (50420034).

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

28200456 is a wasteful number, since it uses less digits than its factorization.

28200456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 279 counting only the distinct ones).

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

The square root of 28200456 is about 5310.4101536510. The cubic root of 28200456 is about 304.3818205601.

The spelling of 28200456 in words is "twenty-eight million, two hundred thousand, four hundred fifty-six".