45440128 has 32 divisors (see below), whose sum is σ = 91163520. Its totient is φ = 22560000.

The previous prime is 45440119. The next prime is 45440159. The reversal of 45440128 is 82104454.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 45440096 and 45440105.

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 3 ways as a sum of consecutive naturals, for example, 18153 + ... + 20503.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^45440128 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 45440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

45440128 is an abundant number, since it is smaller than the sum of its proper divisors (45723392).

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

45440128 is a wasteful number, since it uses less digits than its factorization.

45440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 45440128 is about 6740.9293127877. The cubic root of 45440128 is about 356.8451912435.

The spelling of 45440128 in words is "forty-five million, four hundred forty thousand, one hundred twenty-eight".