28027561311904 has 192 divisors, whose sum is σ = 69173171907840. Its totient is φ = 10859836538880.

The previous prime is 28027561311881. The next prime is 28027561311913. The reversal of 28027561311904 is 40911316572082.

It is a happy number.

It is a super-3 number, since 3×28027561311904³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299426432 + ... + 1299448000.

It is an arithmetic number, because the mean of its divisors is an integer number (360276937020).

It is a 1-persistent number, because it is pandigital, but 2⋅28027561311904 = 56055122623808 is not.

Almost surely, 2^{28027561311904} 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 28027561311904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34586585953920).

28027561311904 is an abundant number, since it is smaller than the sum of its proper divisors (41145610595936).

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

28027561311904 is a wasteful number, since it uses less digits than its factorization.

28027561311904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24471 (or 24463 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Adding to 28027561311904 its reverse (40911316572082), we get a palindrome (68938877883986).

The spelling of 28027561311904 in words is "twenty-eight trillion, twenty-seven billion, five hundred sixty-one million, three hundred eleven thousand, nine hundred four".