28694971872 has 288 divisors, whose sum is σ = 97076109312. Its totient is φ = 8167785984.

The previous prime is 28694971867. The next prime is 28694971889. The reversal of 28694971872 is 27817949682.

28694971872 is a `hidden beast` number, since 2 + 8 + 69 + 497 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 17254113 + ... + 17255775.

It is an arithmetic number, because the mean of its divisors is an integer number (337069824).

Almost surely, 2^28694971872 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 28694971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48538054656).

28694971872 is an abundant number, since it is smaller than the sum of its proper divisors (68381137440).

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

28694971872 is a wasteful number, since it uses less digits than its factorization.

28694971872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1992 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 28694971872 in words is "twenty-eight billion, six hundred ninety-four million, nine hundred seventy-one thousand, eight hundred seventy-two".