54988128 has 144 divisors (see below), whose sum is σ = 177493680. Its totient is φ = 16008192.

The previous prime is 54988127. The next prime is 54988133. The reversal of 54988128 is 82188945.

It is a happy number.

54988128 is a `hidden beast` number, since 549 + 8 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54988121) 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 23 ways as a sum of consecutive naturals, for example, 70750 + ... + 71522.

It is an arithmetic number, because the mean of its divisors is an integer number (1232595).

Almost surely, 2^54988128 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 54988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88746840).

54988128 is an abundant number, since it is smaller than the sum of its proper divisors (122505552).

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

54988128 is a wasteful number, since it uses less digits than its factorization.

54988128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 54988128 is about 7415.3980338212. The cubic root of 54988128 is about 380.2678812879.

The spelling of 54988128 in words is "fifty-four million, nine hundred eighty-eight thousand, one hundred twenty-eight".