19830528 has 144 divisors (see below), whose sum is σ = 62137600. Its totient is φ = 6220800.

The previous prime is 19830521. The next prime is 19830539. The reversal of 19830528 is 82503891.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 19830492 and 19830501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19830521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131253 + ... + 131403.

Almost surely, 2^19830528 is an apocalyptic number.

19830528 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 19830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31068800).

19830528 is an abundant number, since it is smaller than the sum of its proper divisors (42307072).

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

19830528 is a wasteful number, since it uses less digits than its factorization.

19830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 19830528 is about 4453.1480999401. The cubic root of 19830528 is about 270.6728895439.

The spelling of 19830528 in words is "nineteen million, eight hundred thirty thousand, five hundred twenty-eight".