40728 has 16 divisors (see below), whose sum is σ = 101880. Its totient is φ = 13568.

The previous prime is 40709. The next prime is 40739. The reversal of 40728 is 82704.

It is a happy number.

40728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

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, 825 + ... + 872.

2⁴⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

40728 is an abundant number, since it is smaller than the sum of its proper divisors (61152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50940).

40728 is a wasteful number, since it uses less digits than its factorization.

40728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40728 is about 201.8117935107. The cubic root of 40728 is about 34.4057498952.

It can be divided in two parts, 407 and 28, that added together give a triangular number (435 = T₂₉).

The spelling of 40728 in words is "forty thousand, seven hundred twenty-eight".