28099968960 has 224 divisors, whose sum is σ = 104133335040. Its totient is φ = 6286123008.

The previous prime is 28099968943. The next prime is 28099968973. The reversal of 28099968960 is 6986999082.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 28099968891 and 28099968900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271356 + ... + 360324.

It is an arithmetic number, because the mean of its divisors is an integer number (464880960).

Almost surely, 2^28099968960 is an apocalyptic number.

28099968960 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 28099968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52066667520).

28099968960 is an abundant number, since it is smaller than the sum of its proper divisors (76033366080).

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

28099968960 is a wasteful number, since it uses less digits than its factorization.

28099968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89043 (or 89033 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 28099968960 in words is "twenty-eight billion, ninety-nine million, nine hundred sixty-eight thousand, nine hundred sixty".