28993568204160 has 1536 divisors, whose sum is σ = 121879402444800. Its totient is φ = 6207948324864.

The previous prime is 28993568204149. The next prime is 28993568204179. The reversal of 28993568204160 is 6140286539982.

28993568204160 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 3 + 568 + 2 + 0 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17125556274 + ... + 17125557966.

It is an arithmetic number, because the mean of its divisors is an integer number (79348569300).

Almost surely, 2^{28993568204160} is an apocalyptic number.

28993568204160 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 28993568204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60939701222400).

28993568204160 is an abundant number, since it is smaller than the sum of its proper divisors (92885834240640).

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

28993568204160 is a wasteful number, since it uses less digits than its factorization.

28993568204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 28993568204160 in words is "twenty-eight trillion, nine hundred ninety-three billion, five hundred sixty-eight million, two hundred four thousand, one hundred sixty".