19828000 has 48 divisors (see below), whose sum is σ = 48727224. Its totient is φ = 7929600.

The previous prime is 19827959. The next prime is 19828021. The reversal of 19828000 is 82891.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 10316944 = 3084^2 + 3212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19828000.

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, 1522 + ... + 6478.

Almost surely, 2^19828000 is an apocalyptic number.

19828000 is a gapful number since it is divisible by the number (10) 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 19828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363612).

19828000 is an abundant number, since it is smaller than the sum of its proper divisors (28899224).

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

19828000 is an equidigital number, since it uses as much as digits as its factorization.

19828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 19828000 is about 4452.8642467517. The cubic root of 19828000 is about 270.6613872423.

The spelling of 19828000 in words is "nineteen million, eight hundred twenty-eight thousand".