27858740832 has 432 divisors, whose sum is σ = 90616715280. Its totient is φ = 8377924608.

The previous prime is 27858740821. The next prime is 27858740843. The reversal of 27858740832 is 23804785872.

27858740832 is a `hidden beast` number, since 27 + 8 + 587 + 4 + 0 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (27858740821) and next prime (27858740843).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×27858740832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161033098 + ... + 161033270.

It is an arithmetic number, because the mean of its divisors is an integer number (209760915).

Almost surely, 2^27858740832 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 27858740832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45308357640).

27858740832 is an abundant number, since it is smaller than the sum of its proper divisors (62757974448).

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

27858740832 is an equidigital number, since it uses as much as digits as its factorization.

27858740832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 27858740832 in words is "twenty-seven billion, eight hundred fifty-eight million, seven hundred forty thousand, eight hundred thirty-two".