54288000 has 384 divisors, whose sum is σ = 217198800. Its totient is φ = 12902400.

The previous prime is 54287999. The next prime is 54288007. The reversal of 54288000 is 88245.

54288000 = 205² + 206² + ... + 555².

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 54287424 = 24^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (54288007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871986 + ... + 1872014.

Almost surely, 2^54288000 is an apocalyptic number.

54288000 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 54288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599400).

54288000 is an abundant number, since it is smaller than the sum of its proper divisors (162910800).

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

54288000 is a wasteful number, since it uses less digits than its factorization.

54288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54288000 is about 7368.0390878442. The cubic root of 54288000 is about 378.6470817969.

The spelling of 54288000 in words is "fifty-four million, two hundred eighty-eight thousand".