28256000 has 72 divisors (see below), whose sum is σ = 70468944. Its totient is φ = 11289600.

The previous prime is 28255991. The next prime is 28256017. The reversal of 28256000 is 65282.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31559 + ... + 32441.

Almost surely, 2^28256000 is an apocalyptic number.

28256000 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 28256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234472).

28256000 is an abundant number, since it is smaller than the sum of its proper divisors (42212944).

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

28256000 is an frugal number, since it uses more digits than its factorization.

28256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 28256000 is about 5315.6373089217. The cubic root of 28256000 is about 304.5815276873.

The spelling of 28256000 in words is "twenty-eight million, two hundred fifty-six thousand".