45593128 has 48 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 19339488.

The previous prime is 45593123. The next prime is 45593129. The reversal of 45593128 is 82139554.

45593128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45593123) 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 11 ways as a sum of consecutive naturals, for example, 41401 + ... + 42487.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2^45593128 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 45593128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

45593128 is an abundant number, since it is smaller than the sum of its proper divisors (54872792).

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

45593128 is a wasteful number, since it uses less digits than its factorization.

45593128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1203 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 45593128 is about 6752.2683595959. The cubic root of 45593128 is about 357.2452499098.

The spelling of 45593128 in words is "forty-five million, five hundred ninety-three thousand, one hundred twenty-eight".