45061728 has 48 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 14967936.

The previous prime is 45061727. The next prime is 45061729. The reversal of 45061728 is 82716054.

45061728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45061727) and next prime (45061729).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34593 + ... + 35871.

It is an arithmetic number, because the mean of its divisors is an integer number (2472960).

Almost surely, 2^45061728 is an apocalyptic number.

45061728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45061728 is an abundant number, since it is smaller than the sum of its proper divisors (73640352).

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

45061728 is a wasteful number, since it uses less digits than its factorization.

45061728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45061728 is about 6712.8032892377. The cubic root of 45061728 is about 355.8518931111.

The spelling of 45061728 in words is "forty-five million, sixty-one thousand, seven hundred twenty-eight".