27928112800 has 288 divisors, whose sum is σ = 79482912768. Its totient is φ = 9385528320.

The previous prime is 27928112777. The next prime is 27928112827. The reversal of 27928112800 is 821182972.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76098217 + ... + 76098583.

It is an arithmetic number, because the mean of its divisors is an integer number (275982336).

Almost surely, 2^27928112800 is an apocalyptic number.

27928112800 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 27928112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39741456384).

27928112800 is an abundant number, since it is smaller than the sum of its proper divisors (51554799968).

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

27928112800 is a wasteful number, since it uses less digits than its factorization.

27928112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 27928112800 in words is "twenty-seven billion, nine hundred twenty-eight million, one hundred twelve thousand, eight hundred".