52908768 has 192 divisors, whose sum is σ = 177811200. Its totient is φ = 15137280.

The previous prime is 52908767. The next prime is 52908797. The reversal of 52908768 is 86780925.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52908767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180430 + ... + 180722.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^52908768 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 52908768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

52908768 is an abundant number, since it is smaller than the sum of its proper divisors (124902432).

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

52908768 is a wasteful number, since it uses less digits than its factorization.

52908768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 52908768 is about 7273.8413510332. The cubic root of 52908768 is about 375.4129211561.

The spelling of 52908768 in words is "fifty-two million, nine hundred eight thousand, seven hundred sixty-eight".