27732283250928 has 320 divisors, whose sum is σ = 81457557811200. Its totient is φ = 8090404208640.

The previous prime is 27732283250849. The next prime is 27732283250933. The reversal of 27732283250928 is 82905238223772.

It is a super-2 number, since 2×27732283250928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55191288 + ... + 55691496.

It is an arithmetic number, because the mean of its divisors is an integer number (254554868160).

Almost surely, 2^{27732283250928} 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 27732283250928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728778905600).

27732283250928 is an abundant number, since it is smaller than the sum of its proper divisors (53725274560272).

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

27732283250928 is a wasteful number, since it uses less digits than its factorization.

27732283250928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500360 (or 500354 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 27732283250928 in words is "twenty-seven trillion, seven hundred thirty-two billion, two hundred eighty-three million, two hundred fifty thousand, nine hundred twenty-eight".