45789728 has 36 divisors (see below), whose sum is σ = 93212910. Its totient is φ = 22141440.

The previous prime is 45789727. The next prime is 45789739. The reversal of 45789728 is 82798754.

It can be written as a sum of positive squares in only one way, i.e., 43191184 + 2598544 = 6572^2 + 1612^2 .

It is not an unprimeable number, because it can be changed into a prime (45789727) 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 5 ways as a sum of consecutive naturals, for example, 30008 + ... + 31496.

Almost surely, 2^45789728 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 45789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46606455).

45789728 is an abundant number, since it is smaller than the sum of its proper divisors (47423182).

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

45789728 is a wasteful number, since it uses less digits than its factorization.

45789728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1522 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 45789728 is about 6766.8107702226. The cubic root of 45789728 is about 357.7580004699.

The spelling of 45789728 in words is "forty-five million, seven hundred eighty-nine thousand, seven hundred twenty-eight".