54208128 has 64 divisors (see below), whose sum is σ = 155080800. Its totient is φ = 16677888.

The previous prime is 54208127. The next prime is 54208129. The reversal of 54208128 is 82180245.

It is an interprime number because it is at equal distance from previous prime (54208127) and next prime (54208129).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×54208128² = 5877042282528768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54208095 and 54208104.

It is not an unprimeable number, because it can be changed into a prime (54208123) 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 7 ways as a sum of consecutive naturals, for example, 438 + ... + 10421.

Almost surely, 2^54208128 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 54208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77540400).

54208128 is an abundant number, since it is smaller than the sum of its proper divisors (100872672).

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

54208128 is a wasteful number, since it uses less digits than its factorization.

54208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10877 counting only the distinct ones).

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

The square root of 54208128 is about 7362.6169260664. The cubic root of 54208128 is about 378.4612939996.

The spelling of 54208128 in words is "fifty-four million, two hundred eight thousand, one hundred twenty-eight".