54088128 has 112 divisors (see below), whose sum is σ = 160995360. Its totient is φ = 17805312.

The previous prime is 54088121. The next prime is 54088129. The reversal of 54088128 is 82188045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54088092 and 54088101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088121) 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 15 ways as a sum of consecutive naturals, for example, 195126 + ... + 195402.

Almost surely, 2^54088128 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 54088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80497680).

54088128 is an abundant number, since it is smaller than the sum of its proper divisors (106907232).

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

54088128 is a wasteful number, since it uses less digits than its factorization.

54088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 54088128 is about 7354.4631347230. The cubic root of 54088128 is about 378.1818223283.

The spelling of 54088128 in words is "fifty-four million, eighty-eight thousand, one hundred twenty-eight".