28764050870016 has 2016 divisors, whose sum is σ = 115892539499520. Its totient is φ = 6897623040000.

The previous prime is 28764050869949. The next prime is 28764050870021. The reversal of 28764050870016 is 61007805046782.

28764050870016 is a `hidden beast` number, since 2 + 8 + 7 + 64 + 0 + 508 + 70 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9584820516 + ... + 9584823516.

It is an arithmetic number, because the mean of its divisors is an integer number (57486378720).

Almost surely, 2^{28764050870016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28764050870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57946269749760).

28764050870016 is an abundant number, since it is smaller than the sum of its proper divisors (87128488629504).

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

28764050870016 is a wasteful number, since it uses less digits than its factorization.

28764050870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28764050870016 in words is "twenty-eight trillion, seven hundred sixty-four billion, fifty million, eight hundred seventy thousand, sixteen".