27829407312 has 720 divisors, whose sum is σ = 100491693120. Its totient is φ = 7141478400.

The previous prime is 27829407301. The next prime is 27829407323. The reversal of 27829407312 is 21370492872.

27829407312 is a `hidden beast` number, since 278 + 29 + 40 + 7 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (27829407301) and next prime (27829407323).

It is a super-2 number, since 2×27829407312² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335294023 + ... + 335294105.

It is an arithmetic number, because the mean of its divisors is an integer number (139571796).

Almost surely, 2^27829407312 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 27829407312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50245846560).

27829407312 is an abundant number, since it is smaller than the sum of its proper divisors (72662285808).

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

27829407312 is a wasteful number, since it uses less digits than its factorization.

27829407312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27829407312 in words is "twenty-seven billion, eight hundred twenty-nine million, four hundred seven thousand, three hundred twelve".