19828144 has 40 divisors (see below), whose sum is σ = 44813600. Its totient is φ = 8495424.

The previous prime is 19828097. The next prime is 19828169. The reversal of 19828144 is 44182891.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3682 + ... + 7294.

It is an arithmetic number, because the mean of its divisors is an integer number (1120340).

Almost surely, 2^19828144 is an apocalyptic number.

19828144 is a gapful number since it is divisible by the number (14) 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 19828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406800).

19828144 is an abundant number, since it is smaller than the sum of its proper divisors (24985456).

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

19828144 is an equidigital number, since it uses as much as digits as its factorization.

19828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3622 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 19828144 is about 4452.8804160902. The cubic root of 19828144 is about 270.6620424629.

The spelling of 19828144 in words is "nineteen million, eight hundred twenty-eight thousand, one hundred forty-four".