20131328 has 80 divisors (see below), whose sum is σ = 47434464. Its totient is φ = 8355840.

The previous prime is 20131313. The next prime is 20131339. The reversal of 20131328 is 82313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146876 + ... + 147012.

Almost surely, 2^20131328 is an apocalyptic number.

20131328 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 20131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717232).

20131328 is an abundant number, since it is smaller than the sum of its proper divisors (27303136).

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

20131328 is an equidigital number, since it uses as much as digits as its factorization.

20131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20131328 is about 4486.7948471041. The cubic root of 20131328 is about 272.0345976752.

The spelling of 20131328 in words is "twenty million, one hundred thirty-one thousand, three hundred twenty-eight".