257728432 has 80 divisors (see below), whose sum is σ = 594336960. Its totient is φ = 107053056.

The previous prime is 257728411. The next prime is 257728433. The reversal of 257728432 is 234827752.

It is a super-2 number, since 2×257728432² = 132847889322357248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257728433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79744 + ... + 82912.

It is an arithmetic number, because the mean of its divisors is an integer number (7429212).

Almost surely, 2^257728432 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 257728432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297168480).

257728432 is an abundant number, since it is smaller than the sum of its proper divisors (336608528).

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

257728432 is a wasteful number, since it uses less digits than its factorization.

257728432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its digits is 188160, while the sum is 40.

The square root of 257728432 is about 16053.9226359167. The cubic root of 257728432 is about 636.3862348141.

The spelling of 257728432 in words is "two hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred thirty-two".