28622016192168 has 1152 divisors, whose sum is σ = 106060739040000. Its totient is φ = 7107668434944.

The previous prime is 28622016192167. The next prime is 28622016192251. The reversal of 28622016192168 is 86129161022682.

28622016192168 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 2 + 0 + 1 + 619 + 2 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28622016192167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2040196578 + ... + 2040210606.

It is an arithmetic number, because the mean of its divisors is an integer number (92066613750).

Almost surely, 2^{28622016192168} is an apocalyptic number.

28622016192168 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 28622016192168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53030369520000).

28622016192168 is an abundant number, since it is smaller than the sum of its proper divisors (77438722847832).

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

28622016192168 is a wasteful number, since it uses less digits than its factorization.

28622016192168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28622016192168 in words is "twenty-eight trillion, six hundred twenty-two billion, sixteen million, one hundred ninety-two thousand, one hundred sixty-eight".