28769293168 has 240 divisors, whose sum is σ = 75176661600. Its totient is φ = 10526423040.

The previous prime is 28769293123. The next prime is 28769293169. The reversal of 28769293168 is 86139296782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28769293169) 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, 9251998 + ... + 9255106.

It is an arithmetic number, because the mean of its divisors is an integer number (313236090).

Almost surely, 2^28769293168 is an apocalyptic number.

28769293168 is a gapful number since it is divisible by the number (28) 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 28769293168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37588330800).

28769293168 is an abundant number, since it is smaller than the sum of its proper divisors (46407368432).

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

28769293168 is a wasteful number, since it uses less digits than its factorization.

28769293168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3195 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The spelling of 28769293168 in words is "twenty-eight billion, seven hundred sixty-nine million, two hundred ninety-three thousand, one hundred sixty-eight".