52935328 has 48 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 24935680.

The previous prime is 52935317. The next prime is 52935329. The reversal of 52935328 is 82353925.

52935328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52935329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51750 + ... + 52762.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2^52935328 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 52935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

52935328 is an abundant number, since it is smaller than the sum of its proper divisors (57452768).

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

52935328 is a wasteful number, since it uses less digits than its factorization.

52935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1109 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 52935328 is about 7275.6668422901. Note that the first 3 decimals coincide. The cubic root of 52935328 is about 375.4757292663.

The spelling of 52935328 in words is "fifty-two million, nine hundred thirty-five thousand, three hundred twenty-eight".