28668533760 has 264 divisors, whose sum is σ = 99669903840. Its totient is φ = 7619248128.

The previous prime is 28668533753. The next prime is 28668533767. The reversal of 28668533760 is 6733586682.

It is an interprime number because it is at equal distance from previous prime (28668533753) and next prime (28668533767).

It is a junction number, because it is equal to n+sod(n) for n = 28668533697 and 28668533706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28668533767) 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, 16541854 + ... + 16543586.

Almost surely, 2^28668533760 is an apocalyptic number.

28668533760 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 28668533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49834951920).

28668533760 is an abundant number, since it is smaller than the sum of its proper divisors (71001370080).

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

28668533760 is a wasteful number, since it uses less digits than its factorization.

28668533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 28668533760 in words is "twenty-eight billion, six hundred sixty-eight million, five hundred thirty-three thousand, seven hundred sixty".