2003828736 has 252 divisors, whose sum is σ = 6694105992. Its totient is φ = 528482304.

The previous prime is 2003828731. The next prime is 2003828753. The reversal of 2003828736 is 6378283002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2003828694 and 2003828703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003828731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154140666 + ... + 154140678.

Almost surely, 2^2003828736 is an apocalyptic number.

2003828736 is a gapful number since it is divisible by the number (26) 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 2003828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347052996).

2003828736 is an abundant number, since it is smaller than the sum of its proper divisors (4690277256).

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

2003828736 is an frugal number, since it uses more digits than its factorization.

2003828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2003828736 is about 44764.1456525197. The cubic root of 2003828736 is about 1260.7245215794.

Multiplying 2003828736 by its sum of digits (39), we get a square (78149320704 = 279552²).

2003828736 divided by its sum of digits (39) gives a square (51380224 = 7168²).

The spelling of 2003828736 in words is "two billion, three million, eight hundred twenty-eight thousand, seven hundred thirty-six".