52808 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 21120.

The previous prime is 52807. The next prime is 52813. The reversal of 52808 is 80825.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52807) 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, 1268 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵²⁸⁰⁸ 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 52808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

52808 is an abundant number, since it is smaller than the sum of its proper divisors (68152).

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

52808 is a wasteful number, since it uses less digits than its factorization.

52808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 52808 is about 229.7999129678. The cubic root of 52808 is about 37.5174437364.

The spelling of 52808 in words is "fifty-two thousand, eight hundred eight".