163728 has 40 divisors (see below), whose sum is σ = 471200. Its totient is φ = 54432.

The previous prime is 163697. The next prime is 163729. The reversal of 163728 is 827361.

163728 is a `hidden beast` number, since 1 + 637 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (163729) by changing a digit.

163728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (11780).

2¹⁶³⁷²⁸ is an apocalyptic number.

163728 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 163728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235600).

163728 is an abundant number, since it is smaller than the sum of its proper divisors (307472).

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

163728 is a wasteful number, since it uses less digits than its factorization.

163728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 163728 is about 404.6331672021. The cubic root of 163728 is about 54.7067588768.

The spelling of 163728 in words is "one hundred sixty-three thousand, seven hundred twenty-eight".