27228590269848 has 768 divisors, whose sum is σ = 85607320780800. Its totient is φ = 7743403008000.

The previous prime is 27228590269703. The next prime is 27228590269913. The reversal of 27228590269848 is 84896209582272.

It is a happy number.

27228590269848 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 8 + 590 + 26 + 9 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×27228590269848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 27475872633 + ... + 27475873623.

It is an arithmetic number, because the mean of its divisors is an integer number (111467865600).

Almost surely, 2^{27228590269848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27228590269848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42803660390400).

27228590269848 is an abundant number, since it is smaller than the sum of its proper divisors (58378730510952).

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

27228590269848 is a wasteful number, since it uses less digits than its factorization.

27228590269848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 27228590269848 in words is "twenty-seven trillion, two hundred twenty-eight billion, five hundred ninety million, two hundred sixty-nine thousand, eight hundred forty-eight".