1002004128 has 96 divisors (see below), whose sum is σ = 2931768000. Its totient is φ = 332944128.

The previous prime is 1002004127. The next prime is 1002004169. The reversal of 1002004128 is 8214002001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1002004128.

It is not an unprimeable number, because it can be changed into a prime (1002004127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299875 + ... + 303197.

It is an arithmetic number, because the mean of its divisors is an integer number (30539250).

Almost surely, 2^1002004128 is an apocalyptic number.

1002004128 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 1002004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465884000).

1002004128 is an abundant number, since it is smaller than the sum of its proper divisors (1929763872).

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

1002004128 is a wasteful number, since it uses less digits than its factorization.

1002004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1002004128 is about 31654.4487868609. The cubic root of 1002004128 is about 1000.6675968819.

Adding to 1002004128 its reverse (8214002001), we get a palindrome (9216006129).

The spelling of 1002004128 in words is "one billion, two million, four thousand, one hundred twenty-eight".