28076103982080 has 2112 divisors, whose sum is σ = 128368398412800. Its totient is φ = 5833020211200.

The previous prime is 28076103982057. The next prime is 28076103982081. The reversal of 28076103982080 is 8028930167082.

It is a happy number.

28076103982080 is a `hidden beast` number, since 2 + 80 + 76 + 10 + 398 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×28076103982080² (a number of 28 digits) contains 22 as substring.

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 (28076103982081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4694212690 + ... + 4694218670.

Almost surely, 2^{28076103982080} is an apocalyptic number.

28076103982080 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 28076103982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64184199206400).

28076103982080 is an abundant number, since it is smaller than the sum of its proper divisors (100292294430720).

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

28076103982080 is an equidigital number, since it uses as much as digits as its factorization.

28076103982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 28076103982080 in words is "twenty-eight trillion, seventy-six billion, one hundred three million, nine hundred eighty-two thousand, eighty".