27952889832 has 256 divisors, whose sum is σ = 93623040000. Its totient is φ = 7548940800.

The previous prime is 27952889831. The next prime is 27952889843. The reversal of 27952889832 is 23898825972.

27952889832 is a `hidden beast` number, since 2 + 79 + 528 + 8 + 9 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27952889832.

It is not an unprimeable number, because it can be changed into a prime (27952889831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17264719 + ... + 17266337.

It is an arithmetic number, because the mean of its divisors is an integer number (365715000).

Almost surely, 2^27952889832 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 27952889832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46811520000).

27952889832 is an abundant number, since it is smaller than the sum of its proper divisors (65670150168).

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

27952889832 is a wasteful number, since it uses less digits than its factorization.

27952889832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2251 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 27952889832 in words is "twenty-seven billion, nine hundred fifty-two million, eight hundred eighty-nine thousand, eight hundred thirty-two".