45392128 has 36 divisors (see below), whose sum is σ = 91115388. Its totient is φ = 22568960.

The previous prime is 45392117. The next prime is 45392129. The reversal of 45392128 is 82129354.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 42406144 = 1728^2 + 6512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45392093 and 45392102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45392129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59268 + ... + 60028.

It is an arithmetic number, because the mean of its divisors is an integer number (2530983).

Almost surely, 2^45392128 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 45392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45557694).

45392128 is an abundant number, since it is smaller than the sum of its proper divisors (45723260).

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

45392128 is an equidigital number, since it uses as much as digits as its factorization.

45392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 45392128 is about 6737.3680321027. The cubic root of 45392128 is about 356.7194976137.

The spelling of 45392128 in words is "forty-five million, three hundred ninety-two thousand, one hundred twenty-eight".