1006493728 has 48 divisors (see below), whose sum is σ = 2030603904. Its totient is φ = 490936320.

The previous prime is 1006493723. The next prime is 1006493779. The reversal of 1006493728 is 8273946001.

It is not an unprimeable number, because it can be changed into a prime (1006493723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218101 + ... + 222667.

It is an arithmetic number, because the mean of its divisors is an integer number (42304248).

Almost surely, 2^1006493728 is an apocalyptic number.

It is an amenable number.

1006493728 is an abundant number, since it is smaller than the sum of its proper divisors (1024110176).

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

1006493728 is an equidigital number, since it uses as much as digits as its factorization.

1006493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1006493728 is about 31725.2853099858. The cubic root of 1006493728 is about 1002.1599074410.

The spelling of 1006493728 in words is "one billion, six million, four hundred ninety-three thousand, seven hundred twenty-eight".