27789279232 has 240 divisors, whose sum is σ = 67709728800. Its totient is φ = 11230248960.

The previous prime is 27789279227. The next prime is 27789279233. The reversal of 27789279232 is 23297298772.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27789279233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67944244 + ... + 67944652.

It is an arithmetic number, because the mean of its divisors is an integer number (282123870).

Almost surely, 2^27789279232 is an apocalyptic number.

27789279232 is a gapful number since it is divisible by the number (22) 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 27789279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33854864400).

27789279232 is an abundant number, since it is smaller than the sum of its proper divisors (39920449568).

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

27789279232 is a wasteful number, since it uses less digits than its factorization.

27789279232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 58.

The spelling of 27789279232 in words is "twenty-seven billion, seven hundred eighty-nine million, two hundred seventy-nine thousand, two hundred thirty-two".