28065945960 has 1024 divisors, whose sum is σ = 113073408000. Its totient is φ = 6207860736.

The previous prime is 28065945917. The next prime is 28065945961. The reversal of 28065945960 is 6954956082.

It is a happy number.

28065945960 is a `hidden beast` number, since 2 + 80 + 6 + 59 + 459 + 60 = 666.

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 = 28065945897 and 28065945906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28065945961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 758539062 + ... + 758539098.

It is an arithmetic number, because the mean of its divisors is an integer number (110423250).

Almost surely, 2^28065945960 is an apocalyptic number.

28065945960 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 28065945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56536704000).

28065945960 is an abundant number, since it is smaller than the sum of its proper divisors (85007462040).

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

28065945960 is a wasteful number, since it uses less digits than its factorization.

28065945960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 28065945960 in words is "twenty-eight billion, sixty-five million, nine hundred forty-five thousand, nine hundred sixty".