28343029680 has 640 divisors, whose sum is σ = 121980764160. Its totient is φ = 5898977280.

The previous prime is 28343029667. The next prime is 28343029681. The reversal of 28343029680 is 8692034382.

28343029680 is a `hidden beast` number, since 283 + 4 + 3 + 0 + 296 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28343029681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7966462 + ... + 7970018.

It is an arithmetic number, because the mean of its divisors is an integer number (190594944).

Almost surely, 2^28343029680 is an apocalyptic number.

28343029680 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 28343029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990382080).

28343029680 is an abundant number, since it is smaller than the sum of its proper divisors (93637734480).

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

28343029680 is a wasteful number, since it uses less digits than its factorization.

28343029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28343029680 in words is "twenty-eight billion, three hundred forty-three million, twenty-nine thousand, six hundred eighty".