1006040728 has 128 divisors (see below), whose sum is σ = 2534400000. Its totient is φ = 362517120.

The previous prime is 1006040713. The next prime is 1006040741. The reversal of 1006040728 is 8270406001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1006040696 and 1006040705.

It is a congruent number.

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, 502273 + ... + 504271.

It is an arithmetic number, because the mean of its divisors is an integer number (19800000).

Almost surely, 2^1006040728 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 1006040728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267200000).

1006040728 is an abundant number, since it is smaller than the sum of its proper divisors (1528359272).

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

1006040728 is a wasteful number, since it uses less digits than its factorization.

1006040728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1006040728 is about 31718.1450907836. The cubic root of 1006040728 is about 1002.0095350638.

Adding to 1006040728 its reverse (8270406001), we get a palindrome (9276446729).

The spelling of 1006040728 in words is "one billion, six million, forty thousand, seven hundred twenty-eight".