28214203889664 has 1536 divisors, whose sum is σ = 100498664448000. Its totient is φ = 7739670528000.

The previous prime is 28214203889659. The next prime is 28214203889743. The reversal of 28214203889664 is 46698830241282.

28214203889664 is a `hidden beast` number, since 2 + 82 + 14 + 20 + 388 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×28214203889664² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15665853564 + ... + 15665855364.

It is an arithmetic number, because the mean of its divisors is an integer number (65428818000).

Almost surely, 2^{28214203889664} is an apocalyptic number.

28214203889664 is a gapful number since it is divisible by the number (24) 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 28214203889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249332224000).

28214203889664 is an abundant number, since it is smaller than the sum of its proper divisors (72284460558336).

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

28214203889664 is a wasteful number, since it uses less digits than its factorization.

28214203889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 28214203889664 in words is "twenty-eight trillion, two hundred fourteen billion, two hundred three million, eight hundred eighty-nine thousand, six hundred sixty-four".