28636890705696 has 384 divisors, whose sum is σ = 103117368453120. Its totient is φ = 6734194163712.

The previous prime is 28636890705667. The next prime is 28636890705719. The reversal of 28636890705696 is 69650709863682.

It is a super-3 number, since 3×28636890705696³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2252626 + ... + 7896081.

It is an arithmetic number, because the mean of its divisors is an integer number (268534813680).

Almost surely, 2^{28636890705696} is an apocalyptic number.

28636890705696 is a gapful number since it is divisible by the number (26) 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 28636890705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51558684226560).

28636890705696 is an abundant number, since it is smaller than the sum of its proper divisors (74480477747424).

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

28636890705696 is a wasteful number, since it uses less digits than its factorization.

28636890705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148776 (or 10148768 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 75.

The spelling of 28636890705696 in words is "twenty-eight trillion, six hundred thirty-six billion, eight hundred ninety million, seven hundred five thousand, six hundred ninety-six".