28101366566784 has 384 divisors, whose sum is σ = 98509775832000. Its totient is φ = 7505948639232.

The previous prime is 28101366566773. The next prime is 28101366566827. The reversal of 28101366566784 is 48766566310182.

28101366566784 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 1 + 3 + 66 + 566 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×28101366566784³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19738234 + ... + 21113990.

Almost surely, 2^{28101366566784} is an apocalyptic number.

28101366566784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28101366566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49254887916000).

28101366566784 is an abundant number, since it is smaller than the sum of its proper divisors (70408409265216).

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

28101366566784 is a wasteful number, since it uses less digits than its factorization.

28101366566784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375950 (or 1375935 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 28101366566784 in words is "twenty-eight trillion, one hundred one billion, three hundred sixty-six million, five hundred sixty-six thousand, seven hundred eighty-four".