27428548571424 has 1152 divisors, whose sum is σ = 112286375712000. Its totient is φ = 6398485954560.

The previous prime is 27428548571401. The next prime is 27428548571471. The reversal of 27428548571424 is 42417584582472.

27428548571424 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 8 + 5 + 485 + 7 + 142 + 4 = 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 191 ways as a sum of consecutive naturals, for example, 223938552 + ... + 224061000.

It is an arithmetic number, because the mean of its divisors is an integer number (97470812250).

Almost surely, 2^{27428548571424} is an apocalyptic number.

27428548571424 is a gapful number since it is divisible by the number (24) 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 27428548571424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56143187856000).

27428548571424 is an abundant number, since it is smaller than the sum of its proper divisors (84857827140576).

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

27428548571424 is a wasteful number, since it uses less digits than its factorization.

27428548571424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122543 (or 122522 counting only the distinct ones).

The product of its digits is 160563200, while the sum is 63.

It can be divided in two parts, 27428548 and 571424, that added together give a palindrome (27999972).

The spelling of 27428548571424 in words is "twenty-seven trillion, four hundred twenty-eight billion, five hundred forty-eight million, five hundred seventy-one thousand, four hundred twenty-four".