20381328 has 80 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 6174720.

The previous prime is 20381321. The next prime is 20381329. The reversal of 20381328 is 82318302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20381321) 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, 2608 + ... + 6896.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^20381328 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 20381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

20381328 is an abundant number, since it is smaller than the sum of its proper divisors (43453872).

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

20381328 is a wasteful number, since it uses less digits than its factorization.

20381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20381328 is about 4514.5684179111. The cubic root of 20381328 is about 273.1560513442.

It can be divided in two parts, 203813 and 28, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 20381328 in words is "twenty million, three hundred eighty-one thousand, three hundred twenty-eight".