28677646870992 has 960 divisors, whose sum is σ = 102528396691200. Its totient is φ = 7625194536960.

The previous prime is 28677646870967. The next prime is 28677646871011. The reversal of 28677646870992 is 29907864677682.

28677646870992 is a `hidden beast` number, since 2 + 8 + 67 + 7 + 6 + 468 + 7 + 0 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 33384920259 + ... + 33384921117.

It is an arithmetic number, because the mean of its divisors is an integer number (106800413220).

Almost surely, 2^{28677646870992} 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 28677646870992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51264198345600).

28677646870992 is an abundant number, since it is smaller than the sum of its proper divisors (73850749820208).

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

28677646870992 is a wasteful number, since it uses less digits than its factorization.

28677646870992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 28677646870992 in words is "twenty-eight trillion, six hundred seventy-seven billion, six hundred forty-six million, eight hundred seventy thousand, nine hundred ninety-two".