32788 has 12 divisors (see below), whose sum is σ = 65632. Its totient is φ = 14040.

The previous prime is 32783. The next prime is 32789. The reversal of 32788 is 88723.

It is a happy number.

32788 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1171 = 32788 / (3 + 2 + 7 + 8 + 8).

It is a d-powerful number, because it can be written as 3 + 2 + 7 + 8 + 8⁵ .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32783) by changing a digit.

32788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558 + ... + 613.

2³²⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

32788 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (32816).

32788 is a wasteful number, since it uses less digits than its factorization.

32788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 32788 is about 181.0745702742. The cubic root of 32788 is about 32.0065090926.

It can be divided in two parts, 32 and 788, that added together give a triangular number (820 = T₄₀).

The spelling of 32788 in words is "thirty-two thousand, seven hundred eighty-eight".