28866845121408 has 960 divisors, whose sum is σ = 105999042869280. Its totient is φ = 7748747919360.

The previous prime is 28866845121403. The next prime is 28866845121419. The reversal of 28866845121408 is 80412154866882.

28866845121408 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 68 + 45 + 121 + 408 = 666.

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 (28866845121403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5449656616 + ... + 5449661912.

Almost surely, 2^{28866845121408} is an apocalyptic number.

28866845121408 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 28866845121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52999521434640).

28866845121408 is an abundant number, since it is smaller than the sum of its proper divisors (77132197747872).

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

28866845121408 is a wasteful number, since it uses less digits than its factorization.

28866845121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 28866845121408 in words is "twenty-eight trillion, eight hundred sixty-six billion, eight hundred forty-five million, one hundred twenty-one thousand, four hundred eight".