28347123168 has 1152 divisors, whose sum is σ = 112433577984. Its totient is φ = 6569164800.

The previous prime is 28347123107. The next prime is 28347123187. The reversal of 28347123168 is 86132174382.

28347123168 is a `hidden beast` number, since 28 + 347 + 123 + 168 = 666.

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

Its product of digits (387072) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691393228 + ... + 691393268.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^28347123168 is an apocalyptic number.

28347123168 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 28347123168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216788992).

28347123168 is an abundant number, since it is smaller than the sum of its proper divisors (84086454816).

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

28347123168 is a wasteful number, since it uses less digits than its factorization.

28347123168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

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

The spelling of 28347123168 in words is "twenty-eight billion, three hundred forty-seven million, one hundred twenty-three thousand, one hundred sixty-eight".