20005328 has 120 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 7547904.

The previous prime is 20005319. The next prime is 20005343. The reversal of 20005328 is 82350002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253193 + ... + 253271.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^20005328 is an apocalyptic number.

20005328 is a gapful number since it is divisible by the number (28) 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 20005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

20005328 is an abundant number, since it is smaller than the sum of its proper divisors (30884272).

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

20005328 is a wasteful number, since it uses less digits than its factorization.

20005328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 20005328 is about 4472.7316038412. The cubic root of 20005328 is about 271.4658635478.

The spelling of 20005328 in words is "twenty million, five thousand, three hundred twenty-eight".