27989183459328 has 832 divisors, whose sum is σ = 96951454387200. Its totient is φ = 6973984604160.

The previous prime is 27989183459267. The next prime is 27989183459339. The reversal of 27989183459328 is 82395438198972.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8689592758 + ... + 8689595978.

Almost surely, 2^{27989183459328} is an apocalyptic number.

27989183459328 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 27989183459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48475727193600).

27989183459328 is an abundant number, since it is smaller than the sum of its proper divisors (68962270927872).

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

27989183459328 is a wasteful number, since it uses less digits than its factorization.

27989183459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3674 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 78.

The spelling of 27989183459328 in words is "twenty-seven trillion, nine hundred eighty-nine billion, one hundred eighty-three million, four hundred fifty-nine thousand, three hundred twenty-eight".