45442728 has 64 divisors (see below), whose sum is σ = 127540800. Its totient is φ = 14990400.

The previous prime is 45442723. The next prime is 45442729. The reversal of 45442728 is 82724454.

45442728 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 45442692 and 45442701.

It is not an unprimeable number, because it can be changed into a prime (45442723) 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, 20775 + ... + 22857.

It is an arithmetic number, because the mean of its divisors is an integer number (1992825).

Almost surely, 2^45442728 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 45442728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63770400).

45442728 is an abundant number, since it is smaller than the sum of its proper divisors (82098072).

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

45442728 is a wasteful number, since it uses less digits than its factorization.

45442728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 45442728 is about 6741.1221617769. The cubic root of 45442728 is about 356.8519971208.

The spelling of 45442728 in words is "forty-five million, four hundred forty-two thousand, seven hundred twenty-eight".