54916128 has 72 divisors (see below), whose sum is σ = 161231616. Its totient is φ = 17712000.

The previous prime is 54916123. The next prime is 54916153. The reversal of 54916128 is 82161945.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54916128² = 6031562229024768, which contains 22 as substring.

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 = 54916092 and 54916101.

It is not an unprimeable number, because it can be changed into a prime (54916123) 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 11 ways as a sum of consecutive naturals, for example, 5853 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (2239328).

Almost surely, 2^54916128 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 54916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80615808).

54916128 is an abundant number, since it is smaller than the sum of its proper divisors (106315488).

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

54916128 is a wasteful number, since it uses less digits than its factorization.

54916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6187 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 54916128 is about 7410.5416806061. The cubic root of 54916128 is about 380.1018378949.

The spelling of 54916128 in words is "fifty-four million, nine hundred sixteen thousand, one hundred twenty-eight".