45082128 has 80 divisors (see below), whose sum is σ = 143351936. Its totient is φ = 11888640.

The previous prime is 45082127. The next prime is 45082157. The reversal of 45082128 is 82128054.

45082128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45082095 and 45082104.

It is not an unprimeable number, because it can be changed into a prime (45082123) 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 15 ways as a sum of consecutive naturals, for example, 793 + ... + 9528.

Almost surely, 2^45082128 is an apocalyptic number.

45082128 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 45082128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71675968).

45082128 is an abundant number, since it is smaller than the sum of its proper divisors (98269808).

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

45082128 is a wasteful number, since it uses less digits than its factorization.

45082128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10346 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 45082128 is about 6714.3226017224. The cubic root of 45082128 is about 355.9055845232.

The spelling of 45082128 in words is "forty-five million, eighty-two thousand, one hundred twenty-eight".