52883600 has 240 divisors, whose sum is σ = 169382016. Its totient is φ = 15360000.

The previous prime is 52883591. The next prime is 52883603. The reversal of 52883600 is 638825.

It is not an unprimeable number, because it can be changed into a prime (52883603) 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 47 ways as a sum of consecutive naturals, for example, 523550 + ... + 523650.

Almost surely, 2^52883600 is an apocalyptic number.

52883600 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 52883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84691008).

52883600 is an abundant number, since it is smaller than the sum of its proper divisors (116498416).

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

52883600 is a wasteful number, since it uses less digits than its factorization.

52883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52883600 is about 7272.1111102623. Note that the first 5 decimals coincide. The cubic root of 52883600 is about 375.3533853973.

It can be divided in two parts, 5288 and 3600, that added together give a palindrome (8888).

The spelling of 52883600 in words is "fifty-two million, eight hundred eighty-three thousand, six hundred".