28207528168680 has 384 divisors, whose sum is σ = 110300791910400. Its totient is φ = 6107225734656.

The previous prime is 28207528168667. The next prime is 28207528168681. The reversal of 28207528168680 is 8686182570282.

28207528168680 is a `hidden beast` number, since 2 + 8 + 20 + 7 + 528 + 1 + 6 + 8 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28207528168681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369930639 + ... + 370006881.

It is an arithmetic number, because the mean of its divisors is an integer number (287241645600).

Almost surely, 2^{28207528168680} is an apocalyptic number.

28207528168680 is a gapful number since it is divisible by the number (20) 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 28207528168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55150395955200).

28207528168680 is an abundant number, since it is smaller than the sum of its proper divisors (82093263741720).

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

28207528168680 is a wasteful number, since it uses less digits than its factorization.

28207528168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84013 (or 84006 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 28207528168680 in words is "twenty-eight trillion, two hundred seven billion, five hundred twenty-eight million, one hundred sixty-eight thousand, six hundred eighty".