44735728 has 80 divisors (see below), whose sum is σ = 97136640. Its totient is φ = 19872000.

The previous prime is 44735711. The next prime is 44735729. The reversal of 44735728 is 82753744.

44735728 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 (44735729) 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, 442878 + ... + 442978.

It is an arithmetic number, because the mean of its divisors is an integer number (1214208).

Almost surely, 2^44735728 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 44735728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

44735728 is an abundant number, since it is smaller than the sum of its proper divisors (52400912).

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

44735728 is a wasteful number, since it uses less digits than its factorization.

44735728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 188160, while the sum is 40.

The square root of 44735728 is about 6688.4772556988. The cubic root of 44735728 is about 354.9916760595.

It can be divided in two parts, 4473 and 5728, that added together give a palindrome (10201).

The spelling of 44735728 in words is "forty-four million, seven hundred thirty-five thousand, seven hundred twenty-eight".