27728796190200 has 1536 divisors, whose sum is σ = 108675544320000. Its totient is φ = 5826517401600.

The previous prime is 27728796190157. The next prime is 27728796190223. The reversal of 27728796190200 is 209169782772.

It is a super-2 number, since 2×27728796190200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41201777064 + ... + 41201777736.

It is an arithmetic number, because the mean of its divisors is an integer number (70752307500).

Almost surely, 2^{27728796190200} is an apocalyptic number.

27728796190200 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 27728796190200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54337772160000).

27728796190200 is an abundant number, since it is smaller than the sum of its proper divisors (80946748129800).

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

27728796190200 is a wasteful number, since it uses less digits than its factorization.

27728796190200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 27728796190200 in words is "twenty-seven trillion, seven hundred twenty-eight billion, seven hundred ninety-six million, one hundred ninety thousand, two hundred".