52800384 has 128 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 13916160.

The previous prime is 52800383. The next prime is 52800403. The reversal of 52800384 is 48300825.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52800383) 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, 34189 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^52800384 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 52800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

52800384 is an abundant number, since it is smaller than the sum of its proper divisors (119930496).

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

52800384 is a wasteful number, since it uses less digits than its factorization.

52800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52800384 is about 7266.3872729163. The cubic root of 52800384 is about 375.1564005390.

The spelling of 52800384 in words is "fifty-two million, eight hundred thousand, three hundred eighty-four".