5288688 has 60 divisors (see below), whose sum is σ = 15588040. Its totient is φ = 1669248.

The previous prime is 5288687. The next prime is 5288747. The reversal of 5288688 is 8868825.

5288688 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×5288688² = 55940441522688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770 + ... + 3702.

Almost surely, 2^5288688 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 5288688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794020).

5288688 is an abundant number, since it is smaller than the sum of its proper divisors (10299352).

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

5288688 is a wasteful number, since it uses less digits than its factorization.

5288688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1957 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 5288688 is about 2299.7147649219. The cubic root of 5288688 is about 174.2272101149.

It can be divided in two parts, 528 and 8688, that added together give a square (9216 = 96²).

The spelling of 5288688 in words is "five million, two hundred eighty-eight thousand, six hundred eighty-eight".