27882972378408 has 128 divisors (see below), whose sum is σ = 82418852505600. Its totient is φ = 7691282667264.

The previous prime is 27882972378377. The next prime is 27882972378409. The reversal of 27882972378408 is 80487327928872.

It is a super-2 number, since 2×27882972378408² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27882972378408.

It is not an unprimeable number, because it can be changed into a prime (27882972378409) 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, 67549141 + ... + 67960667.

It is an arithmetic number, because the mean of its divisors is an integer number (643897285200).

Almost surely, 2^{27882972378408} is an apocalyptic number.

27882972378408 is a gapful number since it is divisible by the number (28) 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 27882972378408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41209426252800).

27882972378408 is an abundant number, since it is smaller than the sum of its proper divisors (54535880127192).

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

27882972378408 is a wasteful number, since it uses less digits than its factorization.

27882972378408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425479 (or 425475 counting only the distinct ones).

The product of its (nonzero) digits is 1213857792, while the sum is 75.

The spelling of 27882972378408 in words is "twenty-seven trillion, eight hundred eighty-two billion, nine hundred seventy-two million, three hundred seventy-eight thousand, four hundred eight".