258128 has 40 divisors (see below), whose sum is σ = 578088. Its totient is φ = 110592.

The previous prime is 258127. The next prime is 258131. The reversal of 258128 is 821852.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 222784 = 188^2 + 472^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 258097 and 258106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258127) 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, 3500 + ... + 3572.

2²⁵⁸¹²⁸ 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 258128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289044).

258128 is an abundant number, since it is smaller than the sum of its proper divisors (319960).

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

258128 is a wasteful number, since it uses less digits than its factorization.

258128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 258128 is about 508.0629882209. The cubic root of 258128 is about 63.6714937756.

The spelling of 258128 in words is "two hundred fifty-eight thousand, one hundred twenty-eight".