28965969760 has 288 divisors, whose sum is σ = 87199247520. Its totient is φ = 9010003968.

The previous prime is 28965969749. The next prime is 28965969761. The reversal of 28965969760 is 6796956982.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28965969761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6010872 + ... + 6015688.

It is an arithmetic number, because the mean of its divisors is an integer number (302775165).

Almost surely, 2^28965969760 is an apocalyptic number.

28965969760 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 28965969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43599623760).

28965969760 is an abundant number, since it is smaller than the sum of its proper divisors (58233277760).

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

28965969760 is a wasteful number, since it uses less digits than its factorization.

28965969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 28965969760 in words is "twenty-eight billion, nine hundred sixty-five million, nine hundred sixty-nine thousand, seven hundred sixty".