27190211328 has 432 divisors, whose sum is σ = 95760255360. Its totient is φ = 7583901696.

The previous prime is 27190211327. The next prime is 27190211339. The reversal of 27190211328 is 82311209172.

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

It is a super-2 number, since 2×27190211328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27190211292 and 27190211301.

It is not an unprimeable number, because it can be changed into a prime (27190211327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14562651 + ... + 14564517.

Almost surely, 2^27190211328 is an apocalyptic number.

27190211328 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 27190211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880127680).

27190211328 is an abundant number, since it is smaller than the sum of its proper divisors (68570044032).

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

27190211328 is a wasteful number, since it uses less digits than its factorization.

27190211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 27190211328 in words is "twenty-seven billion, one hundred ninety million, two hundred eleven thousand, three hundred twenty-eight".