457728 has 44 divisors (see below), whose sum is σ = 1228200. Its totient is φ = 151552.

The previous prime is 457711. The next prime is 457739. The reversal of 457728 is 827754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2998 + ... + 3146.

2⁴⁵⁷⁷²⁸ is an apocalyptic number.

457728 is a gapful number since it is divisible by the number (48) 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 457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614100).

457728 is an abundant number, since it is smaller than the sum of its proper divisors (770472).

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

457728 is a wasteful number, since it uses less digits than its factorization.

457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 457728 is about 676.5559843797. Note that the first 3 decimals coincide. The cubic root of 457728 is about 77.0671253643.

The spelling of 457728 in words is "four hundred fifty-seven thousand, seven hundred twenty-eight".