32748 has 12 divisors (see below), whose sum is σ = 76440. Its totient is φ = 10912.

The previous prime is 32719. The next prime is 32749. The reversal of 32748 is 84723.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32749) by changing a digit.

32748 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 3 ways as a sum of consecutive naturals, for example, 1353 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2³²⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

32748 is an abundant number, since it is smaller than the sum of its proper divisors (43692).

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 (38220).

32748 is a wasteful number, since it uses less digits than its factorization.

32748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 32748 is about 180.9640848345. The cubic root of 32748 is about 31.9934882583.

It can be divided in two parts, 32 and 748, that added together give a triangular number (780 = T₃₉).

The spelling of 32748 in words is "thirty-two thousand, seven hundred forty-eight".