28677991680 has 360 divisors, whose sum is σ = 110513761512. Its totient is φ = 7058866176.

The previous prime is 28677991663. The next prime is 28677991721. The reversal of 28677991680 is 8619977682.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 27998659584 = 26064^2 + 167328^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 1337202 + ... + 1358478.

Almost surely, 2^28677991680 is an apocalyptic number.

28677991680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28677991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256880756).

28677991680 is an abundant number, since it is smaller than the sum of its proper divisors (81835769832).

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

28677991680 is a wasteful number, since it uses less digits than its factorization.

28677991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21323 (or 21300 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 28677991680 in words is "twenty-eight billion, six hundred seventy-seven million, nine hundred ninety-one thousand, six hundred eighty".