28067719680 has 960 divisors, whose sum is σ = 130622139648. Its totient is φ = 5379194880.

The previous prime is 28067719649. The next prime is 28067719711. The reversal of 28067719680 is 8691776082.

It is an interprime number because it is at equal distance from previous prime (28067719649) and next prime (28067719711).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062432 + ... + 23063648.

Almost surely, 2^28067719680 is an apocalyptic number.

28067719680 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 28067719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65311069824).

28067719680 is an abundant number, since it is smaller than the sum of its proper divisors (102554419968).

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

28067719680 is a wasteful number, since it uses less digits than its factorization.

28067719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

It can be divided in two parts, 28067 and 719680, that added together give a palindrome (747747).

The spelling of 28067719680 in words is "twenty-eight billion, sixty-seven million, seven hundred nineteen thousand, six hundred eighty".