28016076284928 has 1056 divisors, whose sum is σ = 90281543040000. Its totient is φ = 8340689387520.

The previous prime is 28016076284921. The next prime is 28016076284947. The reversal of 28016076284928 is 82948267061082.

28016076284928 is a `hidden beast` number, since 2 + 80 + 1 + 6 + 0 + 7 + 62 + 8 + 492 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28016076284921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18086555898 + ... + 18086557446.

Almost surely, 2^{28016076284928} 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 28016076284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45140771520000).

28016076284928 is an abundant number, since it is smaller than the sum of its proper divisors (62265466755072).

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

28016076284928 is a wasteful number, since it uses less digits than its factorization.

28016076284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 28016076284928 in words is "twenty-eight trillion, sixteen billion, seventy-six million, two hundred eighty-four thousand, nine hundred twenty-eight".