7128000000 has 700 divisors, whose sum is σ = 29011269276. Its totient is φ = 1728000000.

The previous prime is 7127999959. The next prime is 7128000001. The reversal of 7128000000 is 8217.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 647999995 + ... + 648000005.

Almost surely, 2^7128000000 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 7128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505634638).

7128000000 is an abundant number, since it is smaller than the sum of its proper divisors (21883269276).

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

7128000000 is an frugal number, since it uses more digits than its factorization.

7128000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7128000000 is about 84427.4836768217. The cubic root of 7128000000 is about 1924.5205979975.

Adding to 7128000000 its reverse (8217), we get a palindrome (7128008217).

The spelling of 7128000000 in words is "seven billion, one hundred twenty-eight million", and thus it is an aban number.