28850414478336 has 1408 divisors, whose sum is σ = 101022888960000. Its totient is φ = 8035880140800.

The previous prime is 28850414478331. The next prime is 28850414478371. The reversal of 28850414478336 is 63387441405882.

28850414478336 is a `hidden beast` number, since 2 + 8 + 8 + 504 + 1 + 4 + 47 + 83 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (28850414478331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82665943890 + ... + 82665944238.

Almost surely, 2^{28850414478336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28850414478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50511444480000).

28850414478336 is an abundant number, since it is smaller than the sum of its proper divisors (72172474481664).

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

28850414478336 is a wasteful number, since it uses less digits than its factorization.

28850414478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 28850414478336 in words is "twenty-eight trillion, eight hundred fifty billion, four hundred fourteen million, four hundred seventy-eight thousand, three hundred thirty-six".