1003984128 has 162 divisors, whose sum is σ = 3367721994. Its totient is φ = 286820352.

The previous prime is 1003984123. The next prime is 1003984129. The reversal of 1003984128 is 8214893001.

1003984128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 686859264 + 317124864 = 26208^2 + 17808^2 .

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 = 1003984092 and 1003984101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003984123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 108450 + ... + 117342.

Almost surely, 2^1003984128 is an apocalyptic number.

1003984128 is a gapful number since it is divisible by the number (18) 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 1003984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683860997).

1003984128 is an abundant number, since it is smaller than the sum of its proper divisors (2363737866).

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

1003984128 is an equidigital number, since it uses as much as digits as its factorization.

1003984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1003984128 is about 31685.7085765807. The cubic root of 1003984128 is about 1001.3262828628.

The spelling of 1003984128 in words is "one billion, three million, nine hundred eighty-four thousand, one hundred twenty-eight".