4628163168 has 72 divisors (see below), whose sum is σ = 13219505208. Its totient is φ = 1535903232.

The previous prime is 4628163161. The next prime is 4628163209. The reversal of 4628163168 is 8613618264.

4628163168 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 1 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628163161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29980 + ... + 100772.

It is an arithmetic number, because the mean of its divisors is an integer number (183604239).

Almost surely, 2^4628163168 is an apocalyptic number.

4628163168 is a gapful number since it is divisible by the number (48) 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 4628163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609752604).

4628163168 is an abundant number, since it is smaller than the sum of its proper divisors (8591342040).

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

4628163168 is a wasteful number, since it uses less digits than its factorization.

4628163168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71036 (or 71025 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4628163168 is about 68030.6046423226. The cubic root of 4628163168 is about 1666.4906726874.

The spelling of 4628163168 in words is "four billion, six hundred twenty-eight million, one hundred sixty-three thousand, one hundred sixty-eight".