27806428400 has 60 divisors (see below), whose sum is σ = 67191267192. Its totient is φ = 11058251520.

The previous prime is 27806428393. The next prime is 27806428421. The reversal of 27806428400 is 482460872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131714 + ... + 270113.

Almost surely, 2^27806428400 is an apocalyptic number.

27806428400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27806428400 is an abundant number, since it is smaller than the sum of its proper divisors (39384838792).

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

27806428400 is a wasteful number, since it uses less digits than its factorization.

27806428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402018 (or 402007 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 27806428400 in words is "twenty-seven billion, eight hundred six million, four hundred twenty-eight thousand, four hundred".