46728 has 48 divisors (see below), whose sum is σ = 140400. Its totient is φ = 13920.

The previous prime is 46727. The next prime is 46747. The reversal of 46728 is 82764.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (2925).

2⁴⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200).

46728 is an abundant number, since it is smaller than the sum of its proper divisors (93672).

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

46728 is a wasteful number, since it uses less digits than its factorization.

46728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 46728 is about 216.1666024158. The cubic root of 46728 is about 36.0185090007.

The spelling of 46728 in words is "forty-six thousand, seven hundred twenty-eight".