10728 has 24 divisors (see below), whose sum is σ = 29250. Its totient is φ = 3552.

The previous prime is 10723. The next prime is 10729. The reversal of 10728 is 82701.

10728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 324 = 102^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10728.

It is not an unprimeable number, because it can be changed into a prime (10723) 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 5 ways as a sum of consecutive naturals, for example, 3 + ... + 146.

2¹⁰⁷²⁸ is an apocalyptic number.

10728 is a gapful number since it is divisible by the number (18) 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 10728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625).

10728 is an abundant number, since it is smaller than the sum of its proper divisors (18522).

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

10728 is a wasteful number, since it uses less digits than its factorization.

10728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10728 is about 103.5760590098. The cubic root of 10728 is about 22.0549590093.

The spelling of 10728 in words is "ten thousand, seven hundred twenty-eight".