28830958842672 has 960 divisors, whose sum is σ = 97622142568704. Its totient is φ = 7772635791360.

The previous prime is 28830958842671. The next prime is 28830958842677. The reversal of 28830958842672 is 27624885903882.

28830958842672 is a `hidden beast` number, since 2 + 8 + 8 + 30 + 9 + 588 + 4 + 2 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 28830958842672.

It is not an unprimeable number, because it can be changed into a prime (28830958842671) 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, 72622062378 + ... + 72622062774.

Almost surely, 2^{28830958842672} 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 28830958842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48811071284352).

28830958842672 is an abundant number, since it is smaller than the sum of its proper divisors (68791183726032).

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

28830958842672 is a wasteful number, since it uses less digits than its factorization.

28830958842672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 28830958842672 in words is "twenty-eight trillion, eight hundred thirty billion, nine hundred fifty-eight million, eight hundred forty-two thousand, six hundred seventy-two".