257573428 has 48 divisors (see below), whose sum is σ = 539167104. Its totient is φ = 105356160.

The previous prime is 257573423. The next prime is 257573441. The reversal of 257573428 is 824375752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257573423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52563 + ... + 57253.

It is an arithmetic number, because the mean of its divisors is an integer number (11232648).

Almost surely, 2^257573428 is an apocalyptic number.

257573428 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 257573428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269583552).

257573428 is an abundant number, since it is smaller than the sum of its proper divisors (281593676).

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

257573428 is a wasteful number, since it uses less digits than its factorization.

257573428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4790 counting only the distinct ones).

The product of its digits is 470400, while the sum is 43.

The square root of 257573428 is about 16049.0943046640. The cubic root of 257573428 is about 636.2586299639.

The spelling of 257573428 in words is "two hundred fifty-seven million, five hundred seventy-three thousand, four hundred twenty-eight".