257828 has 12 divisors (see below), whose sum is σ = 462000. Its totient is φ = 125832.

The previous prime is 257797. The next prime is 257837. The reversal of 257828 is 828752.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 257794 and 257803.

It is an unprimeable number.

257828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 578 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (38500).

2²⁵⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

257828 is a deficient number, since it is larger than the sum of its proper divisors (204172).

257828 is a wasteful number, since it uses less digits than its factorization.

257828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 257828 is about 507.7676634052. The cubic root of 257828 is about 63.6468175776.

The spelling of 257828 in words is "two hundred fifty-seven thousand, eight hundred twenty-eight".