457828 has 24 divisors (see below), whose sum is σ = 931392. Its totient is φ = 192864.

The previous prime is 457817. The next prime is 457829. The reversal of 457828 is 828754.

457828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 457793 and 457802.

It is not an unprimeable number, because it can be changed into a prime (457829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2226 + ... + 2422.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁴⁵⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

457828 is an abundant number, since it is smaller than the sum of its proper divisors (473564).

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

457828 is a wasteful number, since it uses less digits than its factorization.

457828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 457828 is about 676.6298840577. The cubic root of 457828 is about 77.0727372498.

The spelling of 457828 in words is "four hundred fifty-seven thousand, eight hundred twenty-eight".