28601040000 has 640 divisors, whose sum is σ = 104389084800. Its totient is φ = 6893568000.

The previous prime is 28601039933. The next prime is 28601040007. The reversal of 28601040000 is 4010682.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (28601040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277679949 + ... + 277680051.

It is an arithmetic number, because the mean of its divisors is an integer number (163107945).

Almost surely, 2^28601040000 is an apocalyptic number.

28601040000 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 28601040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52194542400).

28601040000 is an abundant number, since it is smaller than the sum of its proper divisors (75788044800).

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

28601040000 is a wasteful number, since it uses less digits than its factorization.

28601040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 28601040000 its reverse (4010682), we get a palindrome (28605050682).

The spelling of 28601040000 in words is "twenty-eight billion, six hundred one million, forty thousand".