1004237728 has 48 divisors (see below), whose sum is σ = 2135586600. Its totient is φ = 462099456.

The previous prime is 1004237711. The next prime is 1004237737. The reversal of 1004237728 is 8277324001.

It can be written as a sum of positive squares in 4 ways, for example, as 858021264 + 146216464 = 29292^2 + 12092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004237693 and 1004237702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141726 + ... + 148642.

Almost surely, 2^1004237728 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 1004237728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067793300).

1004237728 is an abundant number, since it is smaller than the sum of its proper divisors (1131348872).

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

1004237728 is a wasteful number, since it uses less digits than its factorization.

1004237728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1004237728 is about 31689.7101280526. The cubic root of 1004237728 is about 1001.4105853135.

The spelling of 1004237728 in words is "one billion, four million, two hundred thirty-seven thousand, seven hundred twenty-eight".