28191128554368 has 320 divisors, whose sum is σ = 90363285936000. Its totient is φ = 8672908972032.

The previous prime is 28191128554327. The next prime is 28191128554417. The reversal of 28191128554368 is 86345582119182.

28191128554368 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 1 + 1 + 2 + 85 + 543 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1340955505 + ... + 1340976527.

It is an arithmetic number, because the mean of its divisors is an integer number (282385268550).

Almost surely, 2^{28191128554368} 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 28191128554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45181642968000).

28191128554368 is an abundant number, since it is smaller than the sum of its proper divisors (62172157381632).

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

28191128554368 is a wasteful number, since it uses less digits than its factorization.

28191128554368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31011 (or 30990 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 28191128554368 in words is "twenty-eight trillion, one hundred ninety-one billion, one hundred twenty-eight million, five hundred fifty-four thousand, three hundred sixty-eight".