53928 has 48 divisors (see below), whose sum is σ = 168480. Its totient is φ = 15264.

The previous prime is 53927. The next prime is 53939. The reversal of 53928 is 82935.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁵³⁹²⁸ 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 53928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

53928 is an abundant number, since it is smaller than the sum of its proper divisors (114552).

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

53928 is a wasteful number, since it uses less digits than its factorization.

53928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53928 is about 232.2240297644. The cubic root of 53928 is about 37.7808250778.

The spelling of 53928 in words is "fifty-three thousand, nine hundred twenty-eight".