27958070832 has 160 divisors (see below), whose sum is σ = 76945075200. Its totient is φ = 8730860544.

The previous prime is 27958070821. The next prime is 27958070839. The reversal of 27958070832 is 23807085972.

It is not an unprimeable number, because it can be changed into a prime (27958070839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33322669 + ... + 33323507.

It is an arithmetic number, because the mean of its divisors is an integer number (480906720).

Almost surely, 2^27958070832 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 27958070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38472537600).

27958070832 is an abundant number, since it is smaller than the sum of its proper divisors (48987004368).

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

27958070832 is a wasteful number, since it uses less digits than its factorization.

27958070832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

It can be divided in two parts, 27 and 958070832, that added together give a palindrome (958070859).

The spelling of 27958070832 in words is "twenty-seven billion, nine hundred fifty-eight million, seventy thousand, eight hundred thirty-two".