27428133532800 has 2304 divisors, whose sum is σ = 125574362726400. Its totient is φ = 5171023872000.

The previous prime is 27428133532757. The next prime is 27428133532817. The reversal of 27428133532800 is 823533182472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27428133532800.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3968761345 + ... + 3968768255.

It is an arithmetic number, because the mean of its divisors is an integer number (54502761600).

Almost surely, 2^{27428133532800} is an apocalyptic number.

27428133532800 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 27428133532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62787181363200).

27428133532800 is an abundant number, since it is smaller than the sum of its proper divisors (98146229193600).

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

27428133532800 is a wasteful number, since it uses less digits than its factorization.

27428133532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 27428133532800 in words is "twenty-seven trillion, four hundred twenty-eight billion, one hundred thirty-three million, five hundred thirty-two thousand, eight hundred".