53784288 has 72 divisors (see below), whose sum is σ = 161015400. Its totient is φ = 16982784.

The previous prime is 53784253. The next prime is 53784293. The reversal of 53784288 is 88248735.

53784288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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, 558 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (2236325).

Almost surely, 2^53784288 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 53784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80507700).

53784288 is an abundant number, since it is smaller than the sum of its proper divisors (107231112).

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

53784288 is a wasteful number, since it uses less digits than its factorization.

53784288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864 (or 9853 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 53784288 is about 7333.7771986883. Note that the first 3 decimals coincide. The cubic root of 53784288 is about 377.4723468479.

The spelling of 53784288 in words is "fifty-three million, seven hundred eighty-four thousand, two hundred eighty-eight".