28965807360 has 720 divisors, whose sum is σ = 119878932096. Its totient is φ = 6541295616.

The previous prime is 28965807349. The next prime is 28965807407. The reversal of 28965807360 is 6370856982.

It is a happy number.

28965807360 is a `hidden beast` number, since 28 + 9 + 6 + 580 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 28965807297 and 28965807306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77656134 + ... + 77656506.

Almost surely, 2^28965807360 is an apocalyptic number.

28965807360 is a gapful number since it is divisible by the number (20) 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 28965807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59939466048).

28965807360 is an abundant number, since it is smaller than the sum of its proper divisors (90913124736).

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

28965807360 is a wasteful number, since it uses less digits than its factorization.

28965807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28965807360 in words is "twenty-eight billion, nine hundred sixty-five million, eight hundred seven thousand, three hundred sixty".