12958271928 has 192 divisors, whose sum is σ = 42295968000. Its totient is φ = 3501190656.

The previous prime is 12958271873. The next prime is 12958271951. The reversal of 12958271928 is 82917285921.

12958271928 is a `hidden beast` number, since 1 + 29 + 582 + 7 + 19 + 28 = 666.

It is a super-2 number, since 2×12958271928² (a number of 21 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 47 ways as a sum of consecutive naturals, for example, 8205843 + ... + 8207421.

It is an arithmetic number, because the mean of its divisors is an integer number (220291500).

Almost surely, 2^12958271928 is an apocalyptic number.

12958271928 is a gapful number since it is divisible by the number (18) 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 12958271928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147984000).

12958271928 is an abundant number, since it is smaller than the sum of its proper divisors (29337696072).

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

12958271928 is a wasteful number, since it uses less digits than its factorization.

12958271928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2467 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 12958271928 in words is "twelve billion, nine hundred fifty-eight million, two hundred seventy-one thousand, nine hundred twenty-eight".