52535328 has 96 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 16692480.

The previous prime is 52535317. The next prime is 52535333. The reversal of 52535328 is 82353525.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 377883 + ... + 378021.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 2^52535328 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 52535328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

52535328 is an abundant number, since it is smaller than the sum of its proper divisors (91971552).

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

52535328 is a wasteful number, since it uses less digits than its factorization.

52535328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 52535328 is about 7248.1258267224. The cubic root of 52535328 is about 374.5275900156.

It can be divided in two parts, 525 and 35328, that added together give a palindrome (35853).

The spelling of 52535328 in words is "fifty-two million, five hundred thirty-five thousand, three hundred twenty-eight".