28416166377984 has 1680 divisors, whose sum is σ = 108920764535616. Its totient is φ = 7319841177600.

The previous prime is 28416166377953. The next prime is 28416166378027. The reversal of 28416166377984 is 48977366161482.

28416166377984 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 6 + 166 + 377 + 98 + 4 = 666.

28416166377984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 167 ways as a sum of consecutive naturals, for example, 27561751549 + ... + 27561752579.

Almost surely, 2^{28416166377984} is an apocalyptic number.

28416166377984 is a gapful number since it is divisible by the number (24) 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 28416166377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460382267808).

28416166377984 is an abundant number, since it is smaller than the sum of its proper divisors (80504598157632).

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

28416166377984 is a wasteful number, since it uses less digits than its factorization.

28416166377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1191 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 28416166377984 in words is "twenty-eight trillion, four hundred sixteen billion, one hundred sixty-six million, three hundred seventy-seven thousand, nine hundred eighty-four".