53288320 has 64 divisors (see below), whose sum is σ = 129878640. Its totient is φ = 20899840.

The previous prime is 53288281. The next prime is 53288327. The reversal of 53288320 is 2388235.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53288327) 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 7 ways as a sum of consecutive naturals, for example, 33135 + ... + 34705.

Almost surely, 2^53288320 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 53288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64939320).

53288320 is an abundant number, since it is smaller than the sum of its proper divisors (76590320).

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

53288320 is a wasteful number, since it uses less digits than its factorization.

53288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 53288320 is about 7299.8849305999. The cubic root of 53288320 is about 376.3084838247.

The spelling of 53288320 in words is "fifty-three million, two hundred eighty-eight thousand, three hundred twenty".