28705316198832 has 960 divisors, whose sum is σ = 115044286694400. Its totient is φ = 6750264729600.

The previous prime is 28705316198831. The next prime is 28705316198837. The reversal of 28705316198832 is 23889161350782.

28705316198832 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 5 + 3 + 1 + 619 + 8 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28705316198832.

It is not an unprimeable number, because it can be changed into a prime (28705316198831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88722957 + ... + 89045907.

It is an arithmetic number, because the mean of its divisors is an integer number (119837798640).

Almost surely, 2^{28705316198832} 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 28705316198832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57522143347200).

28705316198832 is an abundant number, since it is smaller than the sum of its proper divisors (86338970495568).

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

28705316198832 is a wasteful number, since it uses less digits than its factorization.

28705316198832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323031 (or 323012 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 28705316198832 in words is "twenty-eight trillion, seven hundred five billion, three hundred sixteen million, one hundred ninety-eight thousand, eight hundred thirty-two".