19228 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 7920.

The previous prime is 19219. The next prime is 19231. The reversal of 19228 is 82291.

19228 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 19199 and 19208.

It is a congruent number.

It is an unprimeable number.

19228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁹²²⁸ is an apocalyptic number.

19228 is the 88-th heptagonal number.

It is an amenable number.

19228 is an abundant number, since it is smaller than the sum of its proper divisors (21092).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

19228 is a wasteful number, since it uses less digits than its factorization.

19228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 19228 is about 138.6650640933. The cubic root of 19228 is about 26.7903284326.

It can be divided in two parts, 1922 and 8, that multiplied together give a square (15376 = 124²).

The spelling of 19228 in words is "nineteen thousand, two hundred twenty-eight".