45829728 has 144 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 12918528.

The previous prime is 45829723. The next prime is 45829753. The reversal of 45829728 is 82792854.

45829728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45829723) 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 23 ways as a sum of consecutive naturals, for example, 255943 + ... + 256121.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^45829728 is an apocalyptic number.

45829728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

45829728 is an abundant number, since it is smaller than the sum of its proper divisors (105128352).

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

45829728 is a wasteful number, since it uses less digits than its factorization.

45829728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 45829728 is about 6769.7657271135. The cubic root of 45829728 is about 357.8621443154.

The spelling of 45829728 in words is "forty-five million, eight hundred twenty-nine thousand, seven hundred twenty-eight".