5280768 has 88 divisors (see below), whose sum is σ = 15720960. Its totient is φ = 1751040.

The previous prime is 5280733. The next prime is 5280773. The reversal of 5280768 is 8670825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable 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, 27553 + ... + 27743.

Almost surely, 2^5280768 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 5280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860480).

5280768 is an abundant number, since it is smaller than the sum of its proper divisors (10440192).

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

5280768 is a wasteful number, since it uses less digits than its factorization.

5280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5280768 is about 2297.9921670885. The cubic root of 5280768 is about 174.1401961659.

Adding to 5280768 its sum of digits (36), we get a square (5280804 = 2298²).

The spelling of 5280768 in words is "five million, two hundred eighty thousand, seven hundred sixty-eight".