28112000 has 128 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 9600000.

The previous prime is 28111997. The next prime is 28112011. The reversal of 28112000 is 21182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 111875 + ... + 112125.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^28112000 is an apocalyptic number.

28112000 is a gapful number since it is divisible by the number (20) 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 28112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

28112000 is an abundant number, since it is smaller than the sum of its proper divisors (52084480).

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

28112000 is an equidigital number, since it uses as much as digits as its factorization.

28112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 28112000 is about 5302.0750654814. The cubic root of 28112000 is about 304.0632370756.

Adding to 28112000 its reverse (21182), we get a palindrome (28133182).

The spelling of 28112000 in words is "twenty-eight million, one hundred twelve thousand".