28344320 has 64 divisors (see below), whose sum is σ = 68418540. Its totient is φ = 11272192.

The previous prime is 28344319. The next prime is 28344343. The reversal of 28344320 is 2344382.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 802816 = 5248^2 + 896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28344320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163754 + ... + 163926.

Almost surely, 2^28344320 is an apocalyptic number.

28344320 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 28344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34209270).

28344320 is an abundant number, since it is smaller than the sum of its proper divisors (40074220).

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

28344320 is an frugal number, since it uses more digits than its factorization.

28344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 28344320 is about 5323.9383918299. The cubic root of 28344320 is about 304.8985419055.

The spelling of 28344320 in words is "twenty-eight million, three hundred forty-four thousand, three hundred twenty".