5388 has 12 divisors (see below), whose sum is σ = 12600. Its totient is φ = 1792.

The previous prime is 5387. The next prime is 5393. The reversal of 5388 is 8835.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5381) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 213 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

2⁵³⁸⁸ is an apocalyptic number.

It is an amenable number.

5388 is an abundant number, since it is smaller than the sum of its proper divisors (7212).

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 (6300).

5388 is a wasteful number, since it uses less digits than its factorization.

5388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 5388 is about 73.4029972140. The cubic root of 5388 is about 17.5311011566.

It can be divided in two parts, 53 and 88, that multiplied together give a palindrome (4664).

The spelling of 5388 in words is "five thousand, three hundred eighty-eight".