1004062128 has 160 divisors (see below), whose sum is σ = 2785536000. Its totient is φ = 311098368.

The previous prime is 1004062117. The next prime is 1004062139. The reversal of 1004062128 is 8212604001.

It is an interprime number because it is at equal distance from previous prime (1004062117) and next prime (1004062139).

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 = 1004062098 and 1004062107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6738598 + ... + 6738746.

It is an arithmetic number, because the mean of its divisors is an integer number (17409600).

Almost surely, 2^1004062128 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 1004062128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768000).

1004062128 is an abundant number, since it is smaller than the sum of its proper divisors (1781473872).

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

1004062128 is a wasteful number, since it uses less digits than its factorization.

1004062128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1004062128 is about 31686.9393914906. The cubic root of 1004062128 is about 1001.3522133615.

Adding to 1004062128 its reverse (8212604001), we get a palindrome (9216666129).

The spelling of 1004062128 in words is "one billion, four million, sixty-two thousand, one hundred twenty-eight".