4507738128 has 100 divisors (see below), whose sum is σ = 13061537148. Its totient is φ = 1500871680.

The previous prime is 4507738121. The next prime is 4507738141. The reversal of 4507738128 is 8218377054.

4507738128 is a `hidden beast` number, since 450 + 7 + 73 + 8 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2569273344 + 1938464784 = 50688^2 + 44028^2 .

It is not an unprimeable number, because it can be changed into a prime (4507738121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1710700 + ... + 1713332.

Almost surely, 2^4507738128 is an apocalyptic number.

4507738128 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 4507738128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530768574).

4507738128 is an abundant number, since it is smaller than the sum of its proper divisors (8553799020).

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

4507738128 is a wasteful number, since it uses less digits than its factorization.

4507738128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 4507738128 is about 67139.6911521047. The cubic root of 4507738128 is about 1651.9094060817.

The spelling of 4507738128 in words is "four billion, five hundred seven million, seven hundred thirty-eight thousand, one hundred twenty-eight".