7128918432 has 96 divisors (see below), whose sum is σ = 20956723200. Its totient is φ = 2357558784.

The previous prime is 7128918409. The next prime is 7128918439. The reversal of 7128918432 is 2348198217.

It is a happy number.

7128918432 is a `hidden beast` number, since 7 + 128 + 91 + 8 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7128918439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77244 + ... + 142212.

It is an arithmetic number, because the mean of its divisors is an integer number (218299200).

Almost surely, 2^7128918432 is an apocalyptic number.

7128918432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478361600).

7128918432 is an abundant number, since it is smaller than the sum of its proper divisors (13827804768).

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

7128918432 is a wasteful number, since it uses less digits than its factorization.

7128918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65115 (or 65101 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 7128918432 is about 84432.9226783013. The cubic root of 7128918432 is about 1924.6032516354.

The spelling of 7128918432 in words is "seven billion, one hundred twenty-eight million, nine hundred eighteen thousand, four hundred thirty-two".