52812288 has 120 divisors (see below), whose sum is σ = 155491908. Its totient is φ = 17252352.

The previous prime is 52812271. The next prime is 52812293. The reversal of 52812288 is 88221825.

It is a happy number.

52812288 is a `hidden beast` number, since 528 + 122 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 278784 = 7248^2 + 528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336306 + ... + 336462.

Almost surely, 2^52812288 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 52812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77745954).

52812288 is an abundant number, since it is smaller than the sum of its proper divisors (102679620).

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

52812288 is a wasteful number, since it uses less digits than its factorization.

52812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 52812288 is about 7267.2063408163. The cubic root of 52812288 is about 375.1845917874.

It can be divided in two parts, 5281 and 2288, that added together give a square (7569 = 87²).

The spelling of 52812288 in words is "fifty-two million, eight hundred twelve thousand, two hundred eighty-eight".