45929728 has 72 divisors (see below), whose sum is σ = 101672648. Its totient is φ = 20570112.

The previous prime is 45929713. The next prime is 45929753. The reversal of 45929728 is 82792954.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 37356544 = 2928^2 + 6112^2 .

It is a congruent number.

It is an unprimeable number.

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, 122950 + ... + 123322.

Almost surely, 2^45929728 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 45929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836324).

45929728 is an abundant number, since it is smaller than the sum of its proper divisors (55742920).

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

45929728 is a wasteful number, since it uses less digits than its factorization.

45929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 45929728 is about 6777.1474825328. The cubic root of 45929728 is about 358.1222390844.

The spelling of 45929728 in words is "forty-five million, nine hundred twenty-nine thousand, seven hundred twenty-eight".