27428978808000 has 5376 divisors, whose sum is σ = 137177177260032. Its totient is φ = 5255331840000.

The previous prime is 27428978807983. The next prime is 27428978808013. The reversal of 27428978808000 is 80887982472.

27428978808000 is a `hidden beast` number, since 274 + 289 + 7 + 8 + 8 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 106727543872 + ... + 106727544128.

It is an arithmetic number, because the mean of its divisors is an integer number (25516588032).

Almost surely, 2^{27428978808000} is an apocalyptic number.

27428978808000 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 27428978808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68588588630016).

27428978808000 is an abundant number, since it is smaller than the sum of its proper divisors (109748198452032).

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

27428978808000 is a wasteful number, since it uses less digits than its factorization.

27428978808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 27428978808000 in words is "twenty-seven trillion, four hundred twenty-eight billion, nine hundred seventy-eight million, eight hundred eight thousand".