52788 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 17056.

The previous prime is 52783. The next prime is 52807. The reversal of 52788 is 88725.

52788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52783) by changing a digit.

52788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵²⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

52788 is an abundant number, since it is smaller than the sum of its proper divisors (74220).

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 (63504).

52788 is a wasteful number, since it uses less digits than its factorization.

52788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 52788 is about 229.7563927293. The cubic root of 52788 is about 37.5127068049.

Subtracting 52788 from its reverse (88725), we obtain a cube (35937 = 33³).

It can be divided in two parts, 5278 and 8, that multiplied together give a palindrome (42224).

The spelling of 52788 in words is "fifty-two thousand, seven hundred eighty-eight".