4383628128 has 144 divisors (see below), whose sum is σ = 13632929856. Its totient is φ = 1325080320.

The previous prime is 4383628103. The next prime is 4383628153. The reversal of 4383628128 is 8218263834.

4383628128 is a `hidden beast` number, since 4 + 3 + 8 + 3 + 628 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4383628103) and next prime (4383628153).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1477975 + ... + 1480937.

It is an arithmetic number, because the mean of its divisors is an integer number (94673124).

Almost surely, 2^4383628128 is an apocalyptic number.

4383628128 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 4383628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816464928).

4383628128 is an abundant number, since it is smaller than the sum of its proper divisors (9249301728).

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

4383628128 is a wasteful number, since it uses less digits than its factorization.

4383628128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3446 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4383628128 is about 66208.9731682949. The cubic root of 4383628128 is about 1636.6076177890.

The spelling of 4383628128 in words is "four billion, three hundred eighty-three million, six hundred twenty-eight thousand, one hundred twenty-eight".