27285022432 has 96 divisors (see below), whose sum is σ = 56273434560. Its totient is φ = 13010350080.

The previous prime is 27285022399. The next prime is 27285022451. The reversal of 27285022432 is 23422058272.

It is a super-2 number, since 2×27285022432² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27285022391 and 27285022400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24962878 + ... + 24963970.

It is an arithmetic number, because the mean of its divisors is an integer number (586181610).

Almost surely, 2^27285022432 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 27285022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28136717280).

27285022432 is an abundant number, since it is smaller than the sum of its proper divisors (28988412128).

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

27285022432 is a wasteful number, since it uses less digits than its factorization.

27285022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 27285022432 in words is "twenty-seven billion, two hundred eighty-five million, twenty-two thousand, four hundred thirty-two".