45728 has 12 divisors (see below), whose sum is σ = 90090. Its totient is φ = 22848.

The previous prime is 45707. The next prime is 45737. The reversal of 45728 is 82754.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 784 = 212^2 + 28^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45697 and 45706.

It is an unprimeable number.

45728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 683 + ... + 746.

2⁴⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

45728 is a deficient number, since it is larger than the sum of its proper divisors (44362).

45728 is a wasteful number, since it uses less digits than its factorization.

45728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1431 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 45728 is about 213.8410624740. The cubic root of 45728 is about 35.7597166605.

Adding to 45728 its sum of digits (26), we get a palindrome (45754).

The spelling of 45728 in words is "forty-five thousand, seven hundred twenty-eight".