45913728 has 256 divisors, whose sum is σ = 156672000. Its totient is φ = 11612160.

The previous prime is 45913717. The next prime is 45913733. The reversal of 45913728 is 82731954.

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 31 ways as a sum of consecutive naturals, for example, 1481073 + ... + 1481103.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 2^45913728 is an apocalyptic number.

45913728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

45913728 is an abundant number, since it is smaller than the sum of its proper divisors (110758272).

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

45913728 is a wasteful number, since it uses less digits than its factorization.

45913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 45913728 is about 6775.9669420681. The cubic root of 45913728 is about 358.0806493083.

The spelling of 45913728 in words is "forty-five million, nine hundred thirteen thousand, seven hundred twenty-eight".