28661546366208 has 288 divisors, whose sum is σ = 96875255070720. Its totient is φ = 8188181084160.

The previous prime is 28661546366183. The next prime is 28661546366231. The reversal of 28661546366208 is 80266364516682.

It is a happy number.

28661546366208 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 1 + 546 + 3 + 66 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 599502241 + ... + 599550047.

It is an arithmetic number, because the mean of its divisors is an integer number (336372413440).

Almost surely, 2^{28661546366208} is an apocalyptic number.

28661546366208 is a gapful number since it is divisible by the number (28) 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 28661546366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48437627535360).

28661546366208 is an abundant number, since it is smaller than the sum of its proper divisors (68213708704512).

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

28661546366208 is a wasteful number, since it uses less digits than its factorization.

28661546366208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60230 (or 60210 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 28661546366208 in words is "twenty-eight trillion, six hundred sixty-one billion, five hundred forty-six million, three hundred sixty-six thousand, two hundred eight".