28026494271648 has 216 divisors, whose sum is σ = 80328440860668. Its totient is φ = 9268877205504.

The previous prime is 28026494271641. The next prime is 28026494271707. The reversal of 28026494271648 is 84617249462082.

It is a happy number.

28026494271648 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 6 + 49 + 427 + 164 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26988565282704 + 1037928988944 = 5195052^2 + 1018788^2 .

It is not an unprimeable number, because it can be changed into a prime (28026494271641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9490853340 + ... + 9490856292.

Almost surely, 2^{28026494271648} 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 28026494271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40164220430334).

28026494271648 is an abundant number, since it is smaller than the sum of its proper divisors (52301946589020).

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

28026494271648 is a wasteful number, since it uses less digits than its factorization.

28026494271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 28026494271648 in words is "twenty-eight trillion, twenty-six billion, four hundred ninety-four million, two hundred seventy-one thousand, six hundred forty-eight".