457028 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 176640.

The previous prime is 457021. The next prime is 457043. The reversal of 457028 is 820754.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 456988 and 457006.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457028.

It is not an unprimeable number, because it can be changed into a prime (457021) by changing a digit.

457028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9701 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁴⁵⁷⁰²⁸ is an apocalyptic number.

It is an amenable number.

457028 is an abundant number, since it is smaller than the sum of its proper divisors (559036).

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

457028 is a wasteful number, since it uses less digits than its factorization.

457028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 457028 is about 676.0384604444. The cubic root of 457028 is about 77.0278192615.

457028 divided by its sum of digits (26) gives a triangular number (17578 = T₁₈₇).

The spelling of 457028 in words is "four hundred fifty-seven thousand, twenty-eight".