28085766916536 has 288 divisors, whose sum is σ = 92989381296240. Its totient is φ = 7626052094976.

The previous prime is 28085766916517. The next prime is 28085766916567. The reversal of 28085766916536 is 63561966758082.

28085766916536 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 5 + 76 + 6 + 9 + 16 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3111220 + ... + 8114876.

Almost surely, 2^{28085766916536} 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 28085766916536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494690648120).

28085766916536 is an abundant number, since it is smaller than the sum of its proper divisors (64903614379704).

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

28085766916536 is a wasteful number, since it uses less digits than its factorization.

28085766916536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003763 (or 5003749 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 28085766916536 in words is "twenty-eight trillion, eighty-five billion, seven hundred sixty-six million, nine hundred sixteen thousand, five hundred thirty-six".