28171680768 has 660 divisors, whose sum is σ = 105942665136. Its totient is φ = 7299072000.

The previous prime is 28171680731. The next prime is 28171680769. The reversal of 28171680768 is 86708617182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28171680769) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70253368 + ... + 70253768.

Almost surely, 2^28171680768 is an apocalyptic number.

28171680768 is a gapful number since it is divisible by the number (28) 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 28171680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52971332568).

28171680768 is an abundant number, since it is smaller than the sum of its proper divisors (77770984368).

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

28171680768 is a wasteful number, since it uses less digits than its factorization.

28171680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 28171680768 in words is "twenty-eight billion, one hundred seventy-one million, six hundred eighty thousand, seven hundred sixty-eight".