54086928 has 120 divisors (see below), whose sum is σ = 169935552. Its totient is φ = 14518272.

The previous prime is 54086917. The next prime is 54086947. The reversal of 54086928 is 82968045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 54086928.

It is an unprimeable number.

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, 96826 + ... + 97382.

Almost surely, 2^54086928 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 54086928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84967776).

54086928 is an abundant number, since it is smaller than the sum of its proper divisors (115848624).

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

54086928 is a wasteful number, since it uses less digits than its factorization.

54086928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 54086928 is about 7354.3815511571. The cubic root of 54086928 is about 378.1790255251.

The spelling of 54086928 in words is "fifty-four million, eighty-six thousand, nine hundred twenty-eight".