28435940405208 has 1152 divisors, whose sum is σ = 96505419479040. Its totient is φ = 7529034240000.

The previous prime is 28435940405203. The next prime is 28435940405219. The reversal of 28435940405208 is 80250404953482.

28435940405208 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 594 + 0 + 40 + 5 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28435940405203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62223064116 + ... + 62223064572.

It is an arithmetic number, because the mean of its divisors is an integer number (83772065520).

Almost surely, 2^{28435940405208} is an apocalyptic number.

28435940405208 is a gapful number since it is divisible by the number (28) 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 28435940405208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48252709739520).

28435940405208 is an abundant number, since it is smaller than the sum of its proper divisors (68069479073832).

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

28435940405208 is a wasteful number, since it uses less digits than its factorization.

28435940405208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 28435940405208 in words is "twenty-eight trillion, four hundred thirty-five billion, nine hundred forty million, four hundred five thousand, two hundred eight".