7114965728 has 96 divisors (see below), whose sum is σ = 15793698816. Its totient is φ = 3130541568.

The previous prime is 7114965719. The next prime is 7114965833. The reversal of 7114965728 is 8275694117.

It is a happy number.

It is a super-2 number, since 2×7114965728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3319025 + ... + 3321167.

It is an arithmetic number, because the mean of its divisors is an integer number (164517696).

Almost surely, 2^7114965728 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 7114965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896849408).

7114965728 is an abundant number, since it is smaller than the sum of its proper divisors (8678733088).

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

7114965728 is a wasteful number, since it uses less digits than its factorization.

7114965728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2528 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

The square root of 7114965728 is about 84350.2562414602. The cubic root of 7114965728 is about 1923.3468217870.

The spelling of 7114965728 in words is "seven billion, one hundred fourteen million, nine hundred sixty-five thousand, seven hundred twenty-eight".