2003427328 has 224 divisors, whose sum is σ = 5032857600. Its totient is φ = 794787840.

The previous prime is 2003427301. The next prime is 2003427343. The reversal of 2003427328 is 8237243002.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 2003427328.

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 15 ways as a sum of consecutive naturals, for example, 64626673 + ... + 64626703.

Almost surely, 2^2003427328 is an apocalyptic number.

2003427328 is a gapful number since it is divisible by the number (28) 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 2003427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516428800).

2003427328 is an abundant number, since it is smaller than the sum of its proper divisors (3029430272).

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

2003427328 is an frugal number, since it uses more digits than its factorization.

2003427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2003427328 is about 44759.6618396520. The cubic root of 2003427328 is about 1260.6403329634.

The spelling of 2003427328 in words is "two billion, three million, four hundred twenty-seven thousand, three hundred twenty-eight".