258030528 has 112 divisors (see below), whose sum is σ = 787603200. Its totient is φ = 73027584.

The previous prime is 258030527. The next prime is 258030551. The reversal of 258030528 is 825030852.

258030528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258030527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151023 + ... + 152721.

Almost surely, 2^258030528 is an apocalyptic number.

258030528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393801600).

258030528 is an abundant number, since it is smaller than the sum of its proper divisors (529572672).

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

258030528 is a wasteful number, since it uses less digits than its factorization.

258030528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 258030528 is about 16063.3286712313. The cubic root of 258030528 is about 636.6347841214.

The spelling of 258030528 in words is "two hundred fifty-eight million, thirty thousand, five hundred twenty-eight".