45928736 has 48 divisors (see below), whose sum is σ = 103803840. Its totient is φ = 19595520.

The previous prime is 45928711. The next prime is 45928739. The reversal of 45928736 is 63782954.

It is not an unprimeable number, because it can be changed into a prime (45928739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84626 + ... + 85166.

It is an arithmetic number, because the mean of its divisors is an integer number (2162580).

Almost surely, 2^45928736 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 45928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51901920).

45928736 is an abundant number, since it is smaller than the sum of its proper divisors (57875104).

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

45928736 is a wasteful number, since it uses less digits than its factorization.

45928736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 45928736 is about 6777.0742950037. The cubic root of 45928736 is about 358.1196607992.

It can be divided in two parts, 45928 and 736, that added together give a palindrome (46664).

The spelling of 45928736 in words is "forty-five million, nine hundred twenty-eight thousand, seven hundred thirty-six".