84404089728 has 384 divisors, whose sum is σ = 297172512000. Its totient is φ = 22456590336.

The previous prime is 84404089717. The next prime is 84404089733. The reversal of 84404089728 is 82798040448.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×84404089728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035076 + ... + 9044412.

It is an arithmetic number, because the mean of its divisors is an integer number (773886750).

Almost surely, 2^84404089728 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 84404089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148586256000).

84404089728 is an abundant number, since it is smaller than the sum of its proper divisors (212768422272).

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

84404089728 is a wasteful number, since it uses less digits than its factorization.

84404089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 84404089728 in words is "eighty-four billion, four hundred four million, eighty-nine thousand, seven hundred twenty-eight".