45828 has 36 divisors (see below), whose sum is σ = 123760. Its totient is φ = 14256.

The previous prime is 45827. The next prime is 45833. The reversal of 45828 is 82854.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651 + ... + 717.

2⁴⁵⁸²⁸ 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 45828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61880).

45828 is an abundant number, since it is smaller than the sum of its proper divisors (77932).

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

45828 is a wasteful number, since it uses less digits than its factorization.

45828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 45828 is about 214.0747532989. The cubic root of 45828 is about 35.7857646554.

It can be divided in two parts, 4 and 5828, that added together give a cube (5832 = 18³).

The spelling of 45828 in words is "forty-five thousand, eight hundred twenty-eight".