32988 has 12 divisors (see below), whose sum is σ = 77000. Its totient is φ = 10992.

The previous prime is 32987. The next prime is 32993. The reversal of 32988 is 88923.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 2⁷ + 9² + 8 + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1363 + ... + 1386.

2³²⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

32988 is an abundant number, since it is smaller than the sum of its proper divisors (44012).

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 (38500).

32988 is a wasteful number, since it uses less digits than its factorization.

32988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2754 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 32988 is about 181.6259893297. The cubic root of 32988 is about 32.0714549082.

The spelling of 32988 in words is "thirty-two thousand, nine hundred eighty-eight".