27820412928 has 728 divisors, whose sum is σ = 104854760256. Its totient is φ = 7226081280.

The previous prime is 27820412897. The next prime is 27820412947. The reversal of 27820412928 is 82921402872.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2529128443 + ... + 2529128453.

Almost surely, 2^27820412928 is an apocalyptic number.

27820412928 is a gapful number since it is divisible by the number (28) 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 27820412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52427380128).

27820412928 is an abundant number, since it is smaller than the sum of its proper divisors (77034347328).

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

27820412928 is an frugal number, since it uses more digits than its factorization.

27820412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27820412928 in words is "twenty-seven billion, eight hundred twenty million, four hundred twelve thousand, nine hundred twenty-eight".