45726128 has 40 divisors (see below), whose sum is σ = 102175008. Its totient is φ = 19418112.

The previous prime is 45726113. The next prime is 45726133. The reversal of 45726128 is 82162754.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10850 + ... + 14462.

Almost surely, 2^45726128 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 45726128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51087504).

45726128 is an abundant number, since it is smaller than the sum of its proper divisors (56448880).

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

45726128 is a wasteful number, since it uses less digits than its factorization.

45726128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3735 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 45726128 is about 6762.1097299585. The cubic root of 45726128 is about 357.5922868010.

It can be divided in two parts, 45726 and 128, that added together give a palindrome (45854).

The spelling of 45726128 in words is "forty-five million, seven hundred twenty-six thousand, one hundred twenty-eight".