45584028 has 72 divisors (see below), whose sum is σ = 134211168. Its totient is φ = 12774528.

The previous prime is 45584023. The next prime is 45584029. The reversal of 45584028 is 82048554.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 45583983 and 45584001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45584023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11650 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (1864044).

Almost surely, 2^45584028 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 45584028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67105584).

45584028 is an abundant number, since it is smaller than the sum of its proper divisors (88627140).

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

45584028 is a wasteful number, since it uses less digits than its factorization.

45584028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45584028 is about 6751.5944783436. The cubic root of 45584028 is about 357.2214806253.

The spelling of 45584028 in words is "forty-five million, five hundred eighty-four thousand, twenty-eight".