52852800 has 504 divisors, whose sum is σ = 234582208. Its totient is φ = 10137600.

The previous prime is 52852777. The next prime is 52852801. The reversal of 52852800 is 825825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52852801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4065594 + ... + 4065606.

Almost surely, 2^52852800 is an apocalyptic number.

52852800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117291104).

52852800 is an abundant number, since it is smaller than the sum of its proper divisors (181729408).

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

52852800 is a wasteful number, since it uses less digits than its factorization.

52852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 52852800 is about 7269.9931224177. The cubic root of 52852800 is about 375.2805012429.

Multiplying 52852800 by its reverse (825825), we get a square (43647163560000 = 6606600²).

52852800 divided by its reverse (825825) gives a 6-th power (64 = 2⁶).

It can be divided in two parts, 528 and 52800, that multiplied together give a square (27878400 = 5280²).

The spelling of 52852800 in words is "fifty-two million, eight hundred fifty-two thousand, eight hundred".