462728 has 16 divisors (see below), whose sum is σ = 991680. Its totient is φ = 198288.

The previous prime is 462727. The next prime is 462733. The reversal of 462728 is 827264.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 462728.

It is not an unprimeable number, because it can be changed into a prime (462727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4076 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (61980).

2⁴⁶²⁷²⁸ is an apocalyptic number.

It is an amenable number.

462728 is an abundant number, since it is smaller than the sum of its proper divisors (528952).

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

462728 is a wasteful number, since it uses less digits than its factorization.

462728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8272 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 462728 is about 680.2411337166. The cubic root of 462728 is about 77.3467244613.

The spelling of 462728 in words is "four hundred sixty-two thousand, seven hundred twenty-eight".