45786128 has 40 divisors (see below), whose sum is σ = 92773080. Its totient is φ = 21862400.

The previous prime is 45786121. The next prime is 45786179. The reversal of 45786128 is 82168754.

It can be written as a sum of positive squares in 4 ways, for example, as 30824704 + 14961424 = 5552^2 + 3868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45786121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46376 + ... + 47352.

It is an arithmetic number, because the mean of its divisors is an integer number (2319327).

Almost surely, 2^45786128 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 45786128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46386540).

45786128 is an abundant number, since it is smaller than the sum of its proper divisors (46986952).

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

45786128 is a wasteful number, since it uses less digits than its factorization.

45786128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 45786128 is about 6766.5447608067. The cubic root of 45786128 is about 357.7486245494.

The spelling of 45786128 in words is "forty-five million, seven hundred eighty-six thousand, one hundred twenty-eight".