52768 has 24 divisors (see below), whose sum is σ = 111132. Its totient is φ = 24576.

The previous prime is 52757. The next prime is 52769. The reversal of 52768 is 86725.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 784 = 228^2 + 28^2 .

It is a d-powerful number, because it can be written as 5⁵ + 2⁵ + 7⁵ + 6² + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (52769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496 + ... + 592.

2⁵²⁷⁶⁸ 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 52768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55566).

52768 is an abundant number, since it is smaller than the sum of its proper divisors (58364).

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

52768 is a wasteful number, since it uses less digits than its factorization.

52768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 52768 is about 229.7128642458. The cubic root of 52768 is about 37.5079686769.

It can be divided in two parts, 527 and 68, that added together give a palindrome (595).

The spelling of 52768 in words is "fifty-two thousand, seven hundred sixty-eight".