27728052782976 has 1280 divisors, whose sum is σ = 109091431680000. Its totient is φ = 6927784464384.

The previous prime is 27728052782951. The next prime is 27728052782977. The reversal of 27728052782976 is 67928725082772.

27728052782976 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 8 + 0 + 527 + 8 + 2 + 97 + 6 = 666.

It is a super-2 number, since 2×27728052782976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728052782977) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 878371545 + ... + 878403111.

It is an arithmetic number, because the mean of its divisors is an integer number (85227681000).

Almost surely, 2^{27728052782976} is an apocalyptic number.

27728052782976 is a gapful number since it is divisible by the number (26) 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 27728052782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545715840000).

27728052782976 is an abundant number, since it is smaller than the sum of its proper divisors (81363378897024).

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

27728052782976 is a wasteful number, since it uses less digits than its factorization.

27728052782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31646 (or 31611 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 27728052782976 in words is "twenty-seven trillion, seven hundred twenty-eight billion, fifty-two million, seven hundred eighty-two thousand, nine hundred seventy-six".