28591559311168 has 70 divisors (see below), whose sum is σ = 66188500063426. Its totient is φ = 12253525353216.

The previous prime is 28591559311153. The next prime is 28591559311247. The reversal of 28591559311168 is 86111395519582.

It can be written as a sum of positive squares in only one way, i.e., 16944683097664 + 11646876213504 = 4116392^2 + 3412752^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 92879055 + ... + 93186382.

Almost surely, 2^{28591559311168} is an apocalyptic number.

28591559311168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28591559311168 is an abundant number, since it is smaller than the sum of its proper divisors (37596940752258).

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

28591559311168 is an frugal number, since it uses more digits than its factorization.

28591559311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186065477 (or 186065446 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 64.

The spelling of 28591559311168 in words is "twenty-eight trillion, five hundred ninety-one billion, five hundred fifty-nine million, three hundred eleven thousand, one hundred sixty-eight".