28001378654208 has 960 divisors, whose sum is σ = 89265588572160. Its totient is φ = 8731415347200.

The previous prime is 28001378654153. The next prime is 28001378654219. The reversal of 28001378654208 is 80245687310082.

28001378654208 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 1 + 378 + 65 + 4 + 208 = 666.

It is a super-4 number, since 4×28001378654208⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19351332141 + ... + 19351333587.

It is an arithmetic number, because the mean of its divisors is an integer number (92984988096).

Almost surely, 2^{28001378654208} 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 28001378654208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44632794286080).

28001378654208 is an abundant number, since it is smaller than the sum of its proper divisors (61264209917952).

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

28001378654208 is a wasteful number, since it uses less digits than its factorization.

28001378654208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28001378654208 in words is "twenty-eight trillion, one billion, three hundred seventy-eight million, six hundred fifty-four thousand, two hundred eight".