28447163864448 has 256 divisors, whose sum is σ = 88907954995200. Its totient is φ = 7890034231296.

The previous prime is 28447163864447. The next prime is 28447163864453. The reversal of 28447163864448 is 84446836174482.

It is a super-2 number, since 2×28447163864448² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28447163864447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18085233 + ... + 19595151.

It is an arithmetic number, because the mean of its divisors is an integer number (347296699200).

Almost surely, 2^{28447163864448} is an apocalyptic number.

28447163864448 is a gapful number since it is divisible by the number (28) 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 28447163864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44453977497600).

28447163864448 is an abundant number, since it is smaller than the sum of its proper divisors (60460791130752).

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

28447163864448 is a wasteful number, since it uses less digits than its factorization.

28447163864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510149 (or 1510137 counting only the distinct ones).

The product of its digits is 792723456, while the sum is 69.

The spelling of 28447163864448 in words is "twenty-eight trillion, four hundred forty-seven billion, one hundred sixty-three million, eight hundred sixty-four thousand, four hundred forty-eight".