1003900128 has 192 divisors, whose sum is σ = 3336173568. Its totient is φ = 256734720.

The previous prime is 1003900123. The next prime is 1003900147. The reversal of 1003900128 is 8210093001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1003900098 and 1003900107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003900123) 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, 494251 + ... + 496277.

It is an arithmetic number, because the mean of its divisors is an integer number (17375904).

Almost surely, 2^1003900128 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 1003900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668086784).

1003900128 is an abundant number, since it is smaller than the sum of its proper divisors (2332273440).

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

1003900128 is a wasteful number, since it uses less digits than its factorization.

1003900128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1003900128 is about 31684.3830301302. The cubic root of 1003900128 is about 1001.2983562083.

Adding to 1003900128 its reverse (8210093001), we get a palindrome (9213993129).

The spelling of 1003900128 in words is "one billion, three million, nine hundred thousand, one hundred twenty-eight".