28419313872648 has 128 divisors (see below), whose sum is σ = 73841860224000. Its totient is φ = 9104824550400.

The previous prime is 28419313872641. The next prime is 28419313872671. The reversal of 28419313872648 is 84627831391482.

It is not an unprimeable number, because it can be changed into a prime (28419313872641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402650838 + ... + 1402671098.

It is an arithmetic number, because the mean of its divisors is an integer number (576889533000).

Almost surely, 2^{28419313872648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28419313872648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36920930112000).

28419313872648 is an abundant number, since it is smaller than the sum of its proper divisors (45422546351352).

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

28419313872648 is a wasteful number, since it uses less digits than its factorization.

28419313872648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33103 (or 33099 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 66.

The spelling of 28419313872648 in words is "twenty-eight trillion, four hundred nineteen billion, three hundred thirteen million, eight hundred seventy-two thousand, six hundred forty-eight".