53282800 has 60 divisors (see below), whose sum is σ = 132172096. Its totient is φ = 20620800.

The previous prime is 53282791. The next prime is 53282807. The reversal of 53282800 is 828235.

53282800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53282807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10252 + ... + 14548.

Almost surely, 2^53282800 is an apocalyptic number.

53282800 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 53282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66086048).

53282800 is an abundant number, since it is smaller than the sum of its proper divisors (78889296).

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

53282800 is a wasteful number, since it uses less digits than its factorization.

53282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 53282800 is about 7299.5068326566. The cubic root of 53282800 is about 376.2954897667.

It can be divided in two parts, 5328 and 2800, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 53282800 in words is "fifty-three million, two hundred eighty-two thousand, eight hundred".