28238112 has 288 divisors, whose sum is σ = 103420800. Its totient is φ = 7451136.

The previous prime is 28238107. The next prime is 28238129. The reversal of 28238112 is 21183282.

28238112 is a `hidden beast` number, since 282 + 381 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (1536) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 973714 + ... + 973742.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^28238112 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 28238112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

28238112 is an abundant number, since it is smaller than the sum of its proper divisors (75182688).

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

28238112 is a wasteful number, since it uses less digits than its factorization.

28238112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 28238112 is about 5313.9544597221. The cubic root of 28238112 is about 304.5172404032.

The spelling of 28238112 in words is "twenty-eight million, two hundred thirty-eight thousand, one hundred twelve".