19985328 has 180 divisors, whose sum is σ = 65176384. Its totient is φ = 5702400.

The previous prime is 19985311. The next prime is 19985333. The reversal of 19985328 is 82358991.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540126 + ... + 540162.

Almost surely, 2^19985328 is an apocalyptic number.

19985328 is a gapful number since it is divisible by the number (18) 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 19985328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32588192).

19985328 is an abundant number, since it is smaller than the sum of its proper divisors (45191056).

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

19985328 is a wasteful number, since it uses less digits than its factorization.

19985328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 19985328 is about 4470.4952745753. The cubic root of 19985328 is about 271.3753688628.

The spelling of 19985328 in words is "nineteen million, nine hundred eighty-five thousand, three hundred twenty-eight".