27428785200 has 90 divisors (see below), whose sum is σ = 95185516244. Its totient is φ = 7314341760.

The previous prime is 27428785127. The next prime is 27428785229. The reversal of 27428785200 is 258782472.

27428785200 is a `hidden beast` number, since 2 + 7 + 42 + 87 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 3805954 + ... + 3813153.

Almost surely, 2^27428785200 is an apocalyptic number.

27428785200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27428785200 is an abundant number, since it is smaller than the sum of its proper divisors (67756731044).

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

27428785200 is a wasteful number, since it uses less digits than its factorization.

27428785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619131 (or 7619117 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27428785200 in words is "twenty-seven billion, four hundred twenty-eight million, seven hundred eighty-five thousand, two hundred".