19807128 has 96 divisors (see below), whose sum is σ = 59389200. Its totient is φ = 5913600.

The previous prime is 19807121. The next prime is 19807187. The reversal of 19807128 is 82170891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19807092 and 19807101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19807121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70348 + ... + 70628.

Almost surely, 2^19807128 is an apocalyptic number.

19807128 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 19807128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29694600).

19807128 is an abundant number, since it is smaller than the sum of its proper divisors (39582072).

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

19807128 is a wasteful number, since it uses less digits than its factorization.

19807128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 19807128 is about 4450.5199696215. The cubic root of 19807128 is about 270.5663830754.

The spelling of 19807128 in words is "nineteen million, eight hundred seven thousand, one hundred twenty-eight".