19828224 has 120 divisors (see below), whose sum is σ = 61813752. Its totient is φ = 6082560.

The previous prime is 19828217. The next prime is 19828253. The reversal of 19828224 is 42282891.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59739 + ... + 60069.

Almost surely, 2^19828224 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 19828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30906876).

19828224 is an abundant number, since it is smaller than the sum of its proper divisors (41985528).

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

19828224 is a wasteful number, since it uses less digits than its factorization.

19828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 19828224 is about 4452.8893990307. The cubic root of 19828224 is about 270.6624064730.

It can be divided in two parts, 1 and 9828224, that added together give a square (9828225 = 3135²).

The spelling of 19828224 in words is "nineteen million, eight hundred twenty-eight thousand, two hundred twenty-four".