257289728 has 40 divisors (see below), whose sum is σ = 520666080. Its totient is φ = 126996480.

The previous prime is 257289701. The next prime is 257289751. The reversal of 257289728 is 827982752.

257289728 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37268 + ... + 43628.

It is an arithmetic number, because the mean of its divisors is an integer number (13016652).

Almost surely, 2^257289728 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 257289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260333040).

257289728 is an abundant number, since it is smaller than the sum of its proper divisors (263376352).

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

257289728 is an frugal number, since it uses more digits than its factorization.

257289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6442 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 257289728 is about 16040.2533645825. The cubic root of 257289728 is about 636.0249452922.

The spelling of 257289728 in words is "two hundred fifty-seven million, two hundred eighty-nine thousand, seven hundred twenty-eight".