28617261360408 has 896 divisors, whose sum is σ = 95674794209280. Its totient is φ = 7852062032640.

The previous prime is 28617261360397. The next prime is 28617261360449. The reversal of 28617261360408 is 80406316271682.

It is a happy number.

28617261360408 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 7 + 26 + 1 + 3 + 604 + 0 + 8 = 666.

It is a super-3 number, since 3×28617261360408³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29471947363 + ... + 29471948333.

Almost surely, 2^{28617261360408} is an apocalyptic number.

28617261360408 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 28617261360408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47837397104640).

28617261360408 is an abundant number, since it is smaller than the sum of its proper divisors (67057532848872).

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

28617261360408 is a wasteful number, since it uses less digits than its factorization.

28617261360408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28617261360408 in words is "twenty-eight trillion, six hundred seventeen billion, two hundred sixty-one million, three hundred sixty thousand, four hundred eight".