28224000 has 360 divisors, whose sum is σ = 118254708. Its totient is φ = 6451200.

The previous prime is 28223941. The next prime is 28224011. The reversal of 28224000 is 42282.

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 19079424 + 9144576 = 4368^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4031997 + ... + 4032003.

Almost surely, 2^28224000 is an apocalyptic number.

28224000 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 28224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59127354).

28224000 is an abundant number, since it is smaller than the sum of its proper divisors (90030708).

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

28224000 is an equidigital number, since it uses as much as digits as its factorization.

28224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 28224000 is about 5312.6264690829. The cubic root of 28224000 is about 304.4665044408.

Adding to 28224000 its reverse (42282), we get a palindrome (28266282).

The spelling of 28224000 in words is "twenty-eight million, two hundred twenty-four thousand".