28544000 has 88 divisors (see below), whose sum is σ = 71530368. Its totient is φ = 11366400.

The previous prime is 28543997. The next prime is 28544017. The reversal of 28544000 is 44582.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127889 + ... + 128111.

Almost surely, 2^28544000 is an apocalyptic number.

28544000 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 28544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35765184).

28544000 is an abundant number, since it is smaller than the sum of its proper divisors (42986368).

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

28544000 is an equidigital number, since it uses as much as digits as its factorization.

28544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 28544000 is about 5342.6585142605. The cubic root of 28544000 is about 305.6128499846.

Adding to 28544000 its reverse (44582), we get a palindrome (28588582).

The spelling of 28544000 in words is "twenty-eight million, five hundred forty-four thousand".