54288384 has 84 divisors (see below), whose sum is σ = 147905724. Its totient is φ = 17711104.

The previous prime is 54288359. The next prime is 54288389. The reversal of 54288384 is 48388245.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54288389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1155049 + ... + 1155095.

Almost surely, 2^54288384 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 54288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73952862).

54288384 is an abundant number, since it is smaller than the sum of its proper divisors (93617340).

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

54288384 is an frugal number, since it uses more digits than its factorization.

54288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 52 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 54288384 is about 7368.0651462918. The cubic root of 54288384 is about 378.6479745672.

The spelling of 54288384 in words is "fifty-four million, two hundred eighty-eight thousand, three hundred eighty-four".