52800192 has 84 divisors (see below), whose sum is σ = 156277056. Its totient is φ = 17026560.

The previous prime is 52800191. The next prime is 52800193. The reversal of 52800192 is 29100825.

It is an interprime number because it is at equal distance from previous prime (52800191) and next prime (52800193).

It is not an unprimeable number, because it can be changed into a prime (52800191) 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 11 ways as a sum of consecutive naturals, for example, 16378 + ... + 19334.

Almost surely, 2^52800192 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 52800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78138528).

52800192 is an abundant number, since it is smaller than the sum of its proper divisors (103476864).

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

52800192 is a wasteful number, since it uses less digits than its factorization.

52800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 52800192 is about 7266.3740613872. The cubic root of 52800192 is about 375.1559458068.

The spelling of 52800192 in words is "fifty-two million, eight hundred thousand, one hundred ninety-two".