28641168 has 80 divisors (see below), whose sum is σ = 82911360. Its totient is φ = 9465984.

The previous prime is 28641161. The next prime is 28641169. The reversal of 28641168 is 86114682.

28641168 is a `hidden beast` number, since 2 + 8 + 641 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (28641161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71946 + ... + 72342.

It is an arithmetic number, because the mean of its divisors is an integer number (1036392).

Almost surely, 2^28641168 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 28641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41455680).

28641168 is an abundant number, since it is smaller than the sum of its proper divisors (54270192).

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

28641168 is a wasteful number, since it uses less digits than its factorization.

28641168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28641168 is about 5351.7443885148. The cubic root of 28641168 is about 305.9592410148.

The spelling of 28641168 in words is "twenty-eight million, six hundred forty-one thousand, one hundred sixty-eight".