8779465728 has 198 divisors, whose sum is σ = 27868156862. Its totient is φ = 2660106240.

The previous prime is 8779465661. The next prime is 8779465733. The reversal of 8779465728 is 8275649778.

8779465728 is a `hidden beast` number, since 87 + 79 + 465 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5156388864 + 3623076864 = 71808^2 + 60192^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1111200 + ... + 1119072.

Almost surely, 2^8779465728 is an apocalyptic number.

8779465728 is a gapful number since it is divisible by the number (88) 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 8779465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934078431).

8779465728 is an abundant number, since it is smaller than the sum of its proper divisors (19088691134).

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

8779465728 is a wasteful number, since it uses less digits than its factorization.

8779465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7889 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 8779465728 is about 93698.8032367543. The cubic root of 8779465728 is about 2062.9531377702.

The spelling of 8779465728 in words is "eight billion, seven hundred seventy-nine million, four hundred sixty-five thousand, seven hundred twenty-eight".