45116028 has 60 divisors (see below), whose sum is σ = 124895232. Its totient is φ = 14152320.

The previous prime is 45116021. The next prime is 45116039. The reversal of 45116028 is 82061154.

45116028 is a `hidden beast` number, since 4 + 51 + 1 + 602 + 8 = 666.

45116028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45115992 and 45116010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45116021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1413 + ... + 9603.

Almost surely, 2^45116028 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 45116028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62447616).

45116028 is an abundant number, since it is smaller than the sum of its proper divisors (79779204).

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

45116028 is a wasteful number, since it uses less digits than its factorization.

45116028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45116028 is about 6716.8465815441. The cubic root of 45116028 is about 355.9947712063.

The spelling of 45116028 in words is "forty-five million, one hundred sixteen thousand, twenty-eight".