28364007168 has 360 divisors, whose sum is σ = 97156781568. Its totient is φ = 8062322688.

The previous prime is 28364007149. The next prime is 28364007179. The reversal of 28364007168 is 86170046382.

28364007168 is a `hidden beast` number, since 2 + 83 + 6 + 400 + 7 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38174605 + ... + 38175347.

Almost surely, 2^28364007168 is an apocalyptic number.

28364007168 is a gapful number since it is divisible by the number (28) 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 28364007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48578390784).

28364007168 is an abundant number, since it is smaller than the sum of its proper divisors (68792774400).

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

28364007168 is an equidigital number, since it uses as much as digits as its factorization.

28364007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28364007168 in words is "twenty-eight billion, three hundred sixty-four million, seven thousand, one hundred sixty-eight".