28677869035200 has 2688 divisors, whose sum is σ = 132762382663680. Its totient is φ = 5849210880000.

The previous prime is 28677869035141. The next prime is 28677869035219. The reversal of 28677869035200 is 253096877682.

28677869035200 is a `hidden beast` number, since 28 + 6 + 7 + 7 + 86 + 9 + 0 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 66537978985 + ... + 66537979415.

It is an arithmetic number, because the mean of its divisors is an integer number (49390767360).

Almost surely, 2^{28677869035200} is an apocalyptic number.

28677869035200 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 28677869035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66381191331840).

28677869035200 is an abundant number, since it is smaller than the sum of its proper divisors (104084513628480).

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

28677869035200 is a wasteful number, since it uses less digits than its factorization.

28677869035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 28677869035200 in words is "twenty-eight trillion, six hundred seventy-seven billion, eight hundred sixty-nine million, thirty-five thousand, two hundred".