45532128 has 48 divisors (see below), whose sum is σ = 121322880. Its totient is φ = 14948736.

The previous prime is 45532121. The next prime is 45532177. The reversal of 45532128 is 82123554.

45532128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45532095 and 45532104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45532121) 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, 2893 + ... + 9971.

It is an arithmetic number, because the mean of its divisors is an integer number (2527560).

Almost surely, 2^45532128 is an apocalyptic number.

45532128 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 45532128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60661440).

45532128 is an abundant number, since it is smaller than the sum of its proper divisors (75790752).

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

45532128 is a wasteful number, since it uses less digits than its factorization.

45532128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7151 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 45532128 is about 6747.7498471713. The cubic root of 45532128 is about 357.0858568384.

The spelling of 45532128 in words is "forty-five million, five hundred thirty-two thousand, one hundred twenty-eight".