533328 has 40 divisors (see below), whose sum is σ = 1416576. Its totient is φ = 172800.

The previous prime is 533327. The next prime is 533353. The reversal of 533328 is 823335.

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

It is a d-powerful number, because it can be written as 5³ + 3² + 3⁶ + 3¹² + 2⁹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 533298 and 533307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 2103.

2⁵³³³²⁸ 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 533328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708288).

533328 is an abundant number, since it is smaller than the sum of its proper divisors (883248).

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

533328 is a wasteful number, since it uses less digits than its factorization.

533328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 533328 is about 730.2930918474. The cubic root of 533328 is about 81.0957562867.

533328 divided by its sum of digits (24) gives a palindrome (22222).

It can be divided in two parts, 533 and 328, that added together give a triangular number (861 = T₄₁).

The spelling of 533328 in words is "five hundred thirty-three thousand, three hundred twenty-eight".