19828900 has 72 divisors (see below), whose sum is σ = 52982720. Its totient is φ = 6272640.

The previous prime is 19828889. The next prime is 19828903. The reversal of 19828900 is 982891.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19828900.

It is not an unprimeable number, because it can be changed into a prime (19828903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8011 + ... + 10189.

Almost surely, 2^19828900 is an apocalyptic number.

19828900 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 19828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26491360).

19828900 is an abundant number, since it is smaller than the sum of its proper divisors (33153820).

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

19828900 is a wasteful number, since it uses less digits than its factorization.

19828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 19828900 is about 4452.9653041541. The cubic root of 19828900 is about 270.6654823193.

The spelling of 19828900 in words is "nineteen million, eight hundred twenty-eight thousand, nine hundred".