28965371760 has 480 divisors, whose sum is σ = 107778810048. Its totient is φ = 6927482880.

The previous prime is 28965371753. The next prime is 28965371791. The reversal of 28965371760 is 6717356982.

28965371760 is a `hidden beast` number, since 2 + 8 + 96 + 537 + 17 + 6 + 0 = 666.

It is a super-2 number, since 2×28965371760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28965371697 and 28965371706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55382859 + ... + 55383381.

Almost surely, 2^28965371760 is an apocalyptic number.

28965371760 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 28965371760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53889405024).

28965371760 is an abundant number, since it is smaller than the sum of its proper divisors (78813438288).

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

28965371760 is a wasteful number, since it uses less digits than its factorization.

28965371760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 28965371760 in words is "twenty-eight billion, nine hundred sixty-five million, three hundred seventy-one thousand, seven hundred sixty".