45379128 has 64 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 14585600.

The previous prime is 45379121. The next prime is 45379157. The reversal of 45379128 is 82197354.

45379128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45379121) 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 15 ways as a sum of consecutive naturals, for example, 105073 + ... + 105503.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^45379128 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 45379128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

45379128 is an abundant number, since it is smaller than the sum of its proper divisors (72193992).

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

45379128 is a wasteful number, since it uses less digits than its factorization.

45379128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 45379128 is about 6736.4031945839. The cubic root of 45379128 is about 356.6854403410.

The spelling of 45379128 in words is "forty-five million, three hundred seventy-nine thousand, one hundred twenty-eight".