28776901986000 has 360 divisors, whose sum is σ = 116917619934024. Its totient is φ = 6577577395200.

The previous prime is 28776901985999. The next prime is 28776901986011. The reversal of 28776901986000 is 68910967782.

28776901986000 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 6 + 9 + 0 + 19 + 8 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223097518224 + 28553804467776 = 472332^2 + 5343576^2 .

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

It is a super-2 number, since 2×28776901986000² (a number of 28 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 15431437 + ... + 17195436.

Almost surely, 2^{28776901986000} is an apocalyptic number.

28776901986000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28776901986000 is an abundant number, since it is smaller than the sum of its proper divisors (88140717948024).

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

28776901986000 is a wasteful number, since it uses less digits than its factorization.

28776901986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32626916 (or 32626890 counting only the distinct ones).

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

The spelling of 28776901986000 in words is "twenty-eight trillion, seven hundred seventy-six billion, nine hundred one million, nine hundred eighty-six thousand".