46928 has 20 divisors (see below), whose sum is σ = 104160. Its totient is φ = 20064.

The previous prime is 46919. The next prime is 46933. The reversal of 46928 is 82964.

46928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 46928.

It is a congruent number.

It is an unprimeable number.

46928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁴⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

46928 is an abundant number, since it is smaller than the sum of its proper divisors (57232).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

46928 is a wasteful number, since it uses less digits than its factorization.

46928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 46928 is about 216.6287146248. The cubic root of 46928 is about 36.0698233352.

The spelling of 46928 in words is "forty-six thousand, nine hundred twenty-eight".