258528 has 24 divisors (see below), whose sum is σ = 678888. Its totient is φ = 86144.

The previous prime is 258527. The next prime is 258539. The reversal of 258528 is 825852.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 258495 and 258504.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258528.

It is not an unprimeable number, because it can be changed into a prime (258521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (28287).

2²⁵⁸⁵²⁸ is an apocalyptic number.

It is an amenable number.

258528 is an abundant number, since it is smaller than the sum of its proper divisors (420360).

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

258528 is a wasteful number, since it uses less digits than its factorization.

258528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2698 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 258528 is about 508.4564878139. The cubic root of 258528 is about 63.7043656496.

The spelling of 258528 in words is "two hundred fifty-eight thousand, five hundred twenty-eight".