28119168 has 192 divisors, whose sum is σ = 101200320. Its totient is φ = 7280640.

The previous prime is 28119151. The next prime is 28119199. The reversal of 28119168 is 86191182.

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88546 + ... + 88862.

It is an arithmetic number, because the mean of its divisors is an integer number (527085).

Almost surely, 2^28119168 is an apocalyptic number.

28119168 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 28119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50600160).

28119168 is an abundant number, since it is smaller than the sum of its proper divisors (73081152).

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

28119168 is a wasteful number, since it uses less digits than its factorization.

28119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 28119168 is about 5302.7509841591. The cubic root of 28119168 is about 304.0890782355.

The spelling of 28119168 in words is "twenty-eight million, one hundred nineteen thousand, one hundred sixty-eight".