4004483328 has 216 divisors, whose sum is σ = 12122412120. Its totient is φ = 1269596160.

The previous prime is 4004483309. The next prime is 4004483359. The reversal of 4004483328 is 8233844004.

It can be written as a sum of positive squares in 4 ways, for example, as 398721024 + 3605762304 = 19968^2 + 60048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4004483292 and 4004483301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4877158 + ... + 4877978.

Almost surely, 2^4004483328 is an apocalyptic number.

4004483328 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 4004483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061206060).

4004483328 is an abundant number, since it is smaller than the sum of its proper divisors (8117928792).

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

4004483328 is a wasteful number, since it uses less digits than its factorization.

4004483328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4004483328 is about 63280.9870972317. The cubic root of 4004483328 is about 1587.9939004941.

The spelling of 4004483328 in words is "four billion, four million, four hundred eighty-three thousand, three hundred twenty-eight".