28309567104 has 768 divisors, whose sum is σ = 107730604800. Its totient is φ = 6927482880.

The previous prime is 28309567103. The next prime is 28309567109. The reversal of 28309567104 is 40176590382.

28309567104 is a `hidden beast` number, since 2 + 83 + 0 + 9 + 567 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28309567104.

It is not an unprimeable number, because it can be changed into a prime (28309567103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121500172 + ... + 121500404.

It is an arithmetic number, because the mean of its divisors is an integer number (140274225).

It is a 1-persistent number, because it is pandigital, but 2⋅28309567104 = 56619134208 is not.

Almost surely, 2^28309567104 is an apocalyptic number.

28309567104 is a gapful number since it is divisible by the number (24) 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 28309567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53865302400).

28309567104 is an abundant number, since it is smaller than the sum of its proper divisors (79421037696).

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

28309567104 is a wasteful number, since it uses less digits than its factorization.

28309567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28309567104 in words is "twenty-eight billion, three hundred nine million, five hundred sixty-seven thousand, one hundred four".