581328 has 60 divisors (see below), whose sum is σ = 1779648. Its totient is φ = 175680.

The previous prime is 581323. The next prime is 581333. The reversal of 581328 is 823185.

It is a happy number.

581328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (581323) and next prime (581333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581323) by changing a digit.

581328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401 + ... + 1767.

2⁵⁸¹³²⁸ 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 581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889824).

581328 is an abundant number, since it is smaller than the sum of its proper divisors (1198320).

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

581328 is a wasteful number, since it uses less digits than its factorization.

581328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 581328 is about 762.4486867980. The cubic root of 581328 is about 83.4591096239.

It can be divided in two parts, 581 and 328, that added together give a palindrome (909).

The spelling of 581328 in words is "five hundred eighty-one thousand, three hundred twenty-eight".