20081328 has 80 divisors (see below), whose sum is σ = 55413120. Its totient is φ = 6248448.

The previous prime is 20081317. The next prime is 20081333. The reversal of 20081328 is 82318002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20081298 and 20081307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88351 + ... + 88577.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^20081328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20081328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706560).

20081328 is an abundant number, since it is smaller than the sum of its proper divisors (35331792).

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

20081328 is a wasteful number, since it uses less digits than its factorization.

20081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20081328 is about 4481.2194768835. The cubic root of 20081328 is about 271.8091943258.

The spelling of 20081328 in words is "twenty million, eighty-one thousand, three hundred twenty-eight".