28069384896 has 672 divisors, whose sum is σ = 104645399040. Its totient is φ = 7273857024.

The previous prime is 28069384891. The next prime is 28069384939. The reversal of 28069384896 is 69848396082.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28069384891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53669691 + ... + 53670213.

It is an arithmetic number, because the mean of its divisors is an integer number (155722320).

Almost surely, 2^28069384896 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 28069384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52322699520).

28069384896 is an abundant number, since it is smaller than the sum of its proper divisors (76576014144).

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

28069384896 is a wasteful number, since it uses less digits than its factorization.

28069384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 28069384896 in words is "twenty-eight billion, sixty-nine million, three hundred eighty-four thousand, eight hundred ninety-six".