7128966438 has 160 divisors (see below), whose sum is σ = 17810841600. Its totient is φ = 2113095600.

The previous prime is 7128966419. The next prime is 7128966443. The reversal of 7128966438 is 8346698217.

7128966438 is a `hidden beast` number, since 71 + 2 + 89 + 66 + 438 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56133531 + ... + 56133657.

It is an arithmetic number, because the mean of its divisors is an integer number (111317760).

Almost surely, 2^7128966438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128966438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905420800).

7128966438 is an abundant number, since it is smaller than the sum of its proper divisors (10681875162).

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

7128966438 is a wasteful number, since it uses less digits than its factorization.

7128966438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 7128966438 is about 84433.2069626637. The cubic root of 7128966438 is about 1924.6075717061.

The spelling of 7128966438 in words is "seven billion, one hundred twenty-eight million, nine hundred sixty-six thousand, four hundred thirty-eight".