54288120 has 32 divisors (see below), whose sum is σ = 162864720. Its totient is φ = 14476800.

The previous prime is 54288097. The next prime is 54288127. The reversal of 54288120 is 2188245.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54288127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226081 + ... + 226320.

Almost surely, 2^54288120 is an apocalyptic number.

It is an amenable number.

54288120 is an abundant number, since it is smaller than the sum of its proper divisors (108576600).

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

54288120 is a wasteful number, since it uses less digits than its factorization.

54288120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452415 (or 452411 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 54288120 is about 7368.0472311190. The cubic root of 54288120 is about 378.6473607881.

The spelling of 54288120 in words is "fifty-four million, two hundred eighty-eight thousand, one hundred twenty".