52808352 has 96 divisors (see below), whose sum is σ = 144027072. Its totient is φ = 16932864.

The previous prime is 52808351. The next prime is 52808359. The reversal of 52808352 is 25380825.

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

It is not an unprimeable number, because it can be changed into a prime (52808351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493483 + ... + 493589.

It is an arithmetic number, because the mean of its divisors is an integer number (1500282).

Almost surely, 2^52808352 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 52808352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72013536).

52808352 is an abundant number, since it is smaller than the sum of its proper divisors (91218720).

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

52808352 is a wasteful number, since it uses less digits than its factorization.

52808352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 52808352 is about 7266.9355301943. The cubic root of 52808352 is about 375.1752709564.

The spelling of 52808352 in words is "fifty-two million, eight hundred eight thousand, three hundred fifty-two".