463728 has 20 divisors (see below), whose sum is σ = 1198088. Its totient is φ = 154560.

The previous prime is 463717. The next prime is 463741. The reversal of 463728 is 827364.

It is a junction number, because it is equal to n+sod(n) for n = 463695 and 463704.

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, 4783 + ... + 4878.

2⁴⁶³⁷²⁸ is an apocalyptic number.

463728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463728 is an abundant number, since it is smaller than the sum of its proper divisors (734360).

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

463728 is a wasteful number, since it uses less digits than its factorization.

463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9666 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 463728 is about 680.9757704941. The cubic root of 463728 is about 77.4024022917.

The spelling of 463728 in words is "four hundred sixty-three thousand, seven hundred twenty-eight".