10488 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 3168.

The previous prime is 10487. The next prime is 10499. The reversal of 10488 is 88401.

10488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2¹⁰⁴⁸⁸ 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 10488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

10488 is an abundant number, since it is smaller than the sum of its proper divisors (18312).

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

10488 is a wasteful number, since it uses less digits than its factorization.

10488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10488 is about 102.4109369159. The cubic root of 10488 is about 21.8892505783.

Adding to 10488 its reverse (88401), we get a palindrome (98889).

The spelling of 10488 in words is "ten thousand, four hundred eighty-eight".