28144807508224 has 243 divisors, whose sum is σ = 63310999185777. Its totient is φ = 12477755136000.

The previous prime is 28144807508219. The next prime is 28144807508227. The reversal of 28144807508224 is 42280570844182.

The square root of 28144807508224 is 5305168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24273042925824 + 3871764582400 = 4926768^2 + 1967680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28144807508227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40149511074 + ... + 40149511774.

Almost surely, 2^{28144807508224} is an apocalyptic number.

28144807508224 is the 5305168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28144807508224

28144807508224 is an abundant number, since it is smaller than the sum of its proper divisors (35166191677553).

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

28144807508224 is an frugal number, since it uses more digits than its factorization.

28144807508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 55.

The spelling of 28144807508224 in words is "twenty-eight trillion, one hundred forty-four billion, eight hundred seven million, five hundred eight thousand, two hundred twenty-four".