28677181691664 has 225 divisors, whose sum is σ = 91238243895799. Its totient is φ = 8689412445120.

The previous prime is 28677181691647. The next prime is 28677181691677. The reversal of 28677181691664 is 46619618177682.

The square root of 28677181691664 is 5355108.

It is a perfect power (a square), and thus also a powerful number.

28677181691664 is a `hidden beast` number, since 286 + 7 + 7 + 181 + 6 + 9 + 166 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28677181691592 and 28677181691601.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2120616007 + ... + 2120629529.

Almost surely, 2^{28677181691664} is an apocalyptic number.

28677181691664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28677181691664 is the 5355108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28677181691664

28677181691664 is an abundant number, since it is smaller than the sum of its proper divisors (62561062204135).

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

28677181691664 is an frugal number, since it uses more digits than its factorization.

28677181691664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27088 (or 13539 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 28677181691664 in words is "twenty-eight trillion, six hundred seventy-seven billion, one hundred eighty-one million, six hundred ninety-one thousand, six hundred sixty-four".