1004331328 has 224 divisors, whose sum is σ = 2730325248. Its totient is φ = 353894400.

The previous prime is 1004331323. The next prime is 1004331331. The reversal of 1004331328 is 8231334001.

1004331328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004331323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3907776 + ... + 3908032.

It is an arithmetic number, because the mean of its divisors is an integer number (12188952).

Almost surely, 2^1004331328 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 1004331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365162624).

1004331328 is an abundant number, since it is smaller than the sum of its proper divisors (1725993920).

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

1004331328 is a wasteful number, since it uses less digits than its factorization.

1004331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1004331328 is about 31691.1869137147. The cubic root of 1004331328 is about 1001.4416965123.

Adding to 1004331328 its reverse (8231334001), we get a palindrome (9235665329).

It can be divided in two parts, 100433 and 1328, that added together give a square (101761 = 319²).

The spelling of 1004331328 in words is "one billion, four million, three hundred thirty-one thousand, three hundred twenty-eight".