4284032728536 has 192 divisors, whose sum is σ = 13430885944320. Its totient is φ = 1219186805760.

The previous prime is 4284032728427. The next prime is 4284032728583. The reversal of 4284032728536 is 6358272304824.

4284032728536 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 0 + 32 + 72 + 8 + 536 = 666.

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, 5890221 + ... + 6577443.

It is an arithmetic number, because the mean of its divisors is an integer number (69952530960).

Almost surely, 2^{4284032728536} 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 4284032728536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715442972160).

4284032728536 is an abundant number, since it is smaller than the sum of its proper divisors (9146853215784).

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

4284032728536 is a wasteful number, since it uses less digits than its factorization.

4284032728536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687726 (or 687719 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4284032728536 in words is "four trillion, two hundred eighty-four billion, thirty-two million, seven hundred twenty-eight thousand, five hundred thirty-six".