32728 has 8 divisors (see below), whose sum is σ = 61380. Its totient is φ = 16360.

The previous prime is 32719. The next prime is 32749. The reversal of 32728 is 82723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×32728² = 2142243968, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 32699 and 32708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2038 + ... + 2053.

2³²⁷²⁸ is an apocalyptic number.

It is an amenable number.

32728 is a deficient number, since it is larger than the sum of its proper divisors (28652).

32728 is a wasteful number, since it uses less digits than its factorization.

32728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4093 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 32728 is about 180.9088168111. The cubic root of 32728 is about 31.9869738649.

The spelling of 32728 in words is "thirty-two thousand, seven hundred twenty-eight".