45502128 has 160 divisors (see below), whose sum is σ = 153323520. Its totient is φ = 12648960.

The previous prime is 45502123. The next prime is 45502129. The reversal of 45502128 is 82120554.

It is a happy number.

45502128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45502123) 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 31 ways as a sum of consecutive naturals, for example, 123801 + ... + 124167.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 2^45502128 is an apocalyptic number.

45502128 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 45502128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76661760).

45502128 is an abundant number, since it is smaller than the sum of its proper divisors (107821392).

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

45502128 is a wasteful number, since it uses less digits than its factorization.

45502128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45502128 is about 6745.5265176263. The cubic root of 45502128 is about 357.0074145766.

The spelling of 45502128 in words is "forty-five million, five hundred two thousand, one hundred twenty-eight".