28009100160 has 640 divisors, whose sum is σ = 106990329600. Its totient is φ = 6967296000.

The previous prime is 28009100117. The next prime is 28009100167. The reversal of 28009100160 is 6100190082.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28009100167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46603860 + ... + 46604460.

It is an arithmetic number, because the mean of its divisors is an integer number (167172390).

Almost surely, 2^28009100160 is an apocalyptic number.

28009100160 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 28009100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495164800).

28009100160 is an abundant number, since it is smaller than the sum of its proper divisors (78981229440).

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

28009100160 is a wasteful number, since it uses less digits than its factorization.

28009100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 28009100160 in words is "twenty-eight billion, nine million, one hundred thousand, one hundred sixty".