258251728 has 80 divisors (see below), whose sum is σ = 617460480. Its totient is φ = 102187008.

The previous prime is 258251687. The next prime is 258251767. The reversal of 258251728 is 827152852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72976 + ... + 76432.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^258251728 is an apocalyptic number.

258251728 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 258251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308730240).

258251728 is an abundant number, since it is smaller than the sum of its proper divisors (359208752).

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

258251728 is a wasteful number, since it uses less digits than its factorization.

258251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3518 counting only the distinct ones).

The product of its digits is 89600, while the sum is 40.

The square root of 258251728 is about 16070.2124441465. The cubic root of 258251728 is about 636.8166532896.

The spelling of 258251728 in words is "two hundred fifty-eight million, two hundred fifty-one thousand, seven hundred twenty-eight".