10788 has 24 divisors (see below), whose sum is σ = 26880. Its totient is φ = 3360.

The previous prime is 10781. The next prime is 10789. The reversal of 10788 is 88701.

10788 is nontrivially palindromic in base 5 and base 11.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10781) by changing a digit.

10788 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

2¹⁰⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

10788 is an abundant number, since it is smaller than the sum of its proper divisors (16092).

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

10788 is a wasteful number, since it uses less digits than its factorization.

10788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10788 is about 103.8652973808. The cubic root of 10788 is about 22.0959992212.

Adding to 10788 its product of nonzero digits (448), we get a square (11236 = 106²).

The spelling of 10788 in words is "ten thousand, seven hundred eighty-eight".