28802858976 has 288 divisors, whose sum is σ = 86814943488. Its totient is φ = 9047531520.

The previous prime is 28802858893. The next prime is 28802858977. The reversal of 28802858976 is 67985820882.

28802858976 is a `hidden beast` number, since 28 + 8 + 0 + 28 + 589 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28802858977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47450865 + ... + 47451471.

It is an arithmetic number, because the mean of its divisors is an integer number (301440776).

Almost surely, 2^28802858976 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 28802858976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407471744).

28802858976 is an abundant number, since it is smaller than the sum of its proper divisors (58012084512).

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

28802858976 is a wasteful number, since it uses less digits than its factorization.

28802858976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

It can be divided in two parts, 28802 and 858976, that added together give a triangular number (887778 = T₁₃₃₂).

The spelling of 28802858976 in words is "twenty-eight billion, eight hundred two million, eight hundred fifty-eight thousand, nine hundred seventy-six".