28349710560 has 192 divisors, whose sum is σ = 99366523200. Its totient is φ = 7549065216.

The previous prime is 28349710549. The next prime is 28349710573. The reversal of 28349710560 is 6501794382.

28349710560 is a `hidden beast` number, since 2 + 83 + 4 + 9 + 7 + 1 + 0 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3265906 + ... + 3274574.

It is an arithmetic number, because the mean of its divisors is an integer number (517533975).

It is a 1-persistent number, because it is pandigital, but 2⋅28349710560 = 56699421120 is not.

Almost surely, 2^28349710560 is an apocalyptic number.

28349710560 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 28349710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49683261600).

28349710560 is an abundant number, since it is smaller than the sum of its proper divisors (71016812640).

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

28349710560 is a wasteful number, since it uses less digits than its factorization.

28349710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9436 counting only the distinct ones).

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

The spelling of 28349710560 in words is "twenty-eight billion, three hundred forty-nine million, seven hundred ten thousand, five hundred sixty".