7089776928 has 144 divisors (see below), whose sum is σ = 22122729720. Its totient is φ = 2140250112.

The previous prime is 7089776921. The next prime is 7089776971. The reversal of 7089776928 is 8296779807.

It can be written as a sum of positive squares in 4 ways, for example, as 3316377744 + 3773399184 = 57588^2 + 61428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7089776928² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7089776921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180568 + ... + 216296.

Almost surely, 2^7089776928 is an apocalyptic number.

7089776928 is a gapful number since it is divisible by the number (78) 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 7089776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061364860).

7089776928 is an abundant number, since it is smaller than the sum of its proper divisors (15032952792).

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

7089776928 is a wasteful number, since it uses less digits than its factorization.

7089776928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35811 (or 35800 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The square root of 7089776928 is about 84200.8131077129. The cubic root of 7089776928 is about 1921.0744246856.

The spelling of 7089776928 in words is "seven billion, eighty-nine million, seven hundred seventy-six thousand, nine hundred twenty-eight".