28035661085190 has 384 divisors, whose sum is σ = 84489160613760. Its totient is φ = 6605623664640.

The previous prime is 28035661085189. The next prime is 28035661085207. The reversal of 28035661085190 is 9158016653082.

28035661085190 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 5 + 6 + 610 + 8 + 5 + 19 + 0 = 666.

It is a super-3 number, since 3×28035661085190³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1151964702 + ... + 1151989038.

It is an arithmetic number, because the mean of its divisors is an integer number (220023855765).

Almost surely, 2^{28035661085190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28035661085190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42244580306880).

28035661085190 is an abundant number, since it is smaller than the sum of its proper divisors (56453499528570).

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

28035661085190 is a wasteful number, since it uses less digits than its factorization.

28035661085190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25348 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28035661085190 in words is "twenty-eight trillion, thirty-five billion, six hundred sixty-one million, eighty-five thousand, one hundred ninety".