28666098660600 has 576 divisors, whose sum is σ = 100607710694400. Its totient is φ = 7585427243520.

The previous prime is 28666098660599. The next prime is 28666098660629. The reversal of 28666098660600 is 606689066682.

It is a super-2 number, since 2×28666098660600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3403307989 + ... + 3403316411.

It is an arithmetic number, because the mean of its divisors is an integer number (174666164400).

Almost surely, 2^{28666098660600} is an apocalyptic number.

28666098660600 is a gapful number since it is divisible by the number (20) 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 28666098660600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50303855347200).

28666098660600 is an abundant number, since it is smaller than the sum of its proper divisors (71941612033800).

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

28666098660600 is a wasteful number, since it uses less digits than its factorization.

28666098660600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 28666098660600 in words is "twenty-eight trillion, six hundred sixty-six billion, ninety-eight million, six hundred sixty thousand, six hundred".