528408 has 48 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 170880.

The previous prime is 528403. The next prime is 528413. The reversal of 528408 is 804825.

528408 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (528403) and next prime (528413).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528401) by changing a digit.

528408 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, 2863 + ... + 3041.

2⁵²⁸⁴⁰⁸ 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 528408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

528408 is an abundant number, since it is smaller than the sum of its proper divisors (945792).

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

528408 is a wasteful number, since it uses less digits than its factorization.

528408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 528408 is about 726.9167765295. The cubic root of 528408 is about 80.8456135616.

The spelling of 528408 in words is "five hundred twenty-eight thousand, four hundred eight".