27829085934 has 64 divisors (see below), whose sum is σ = 62777530368. Its totient is φ = 8160134400.

The previous prime is 27829085923. The next prime is 27829085941. The reversal of 27829085934 is 43958092872.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457554 + ... + 514794.

It is an arithmetic number, because the mean of its divisors is an integer number (980898912).

Almost surely, 2^27829085934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27829085934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388765184).

27829085934 is an abundant number, since it is smaller than the sum of its proper divisors (34948444434).

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

27829085934 is a wasteful number, since it uses less digits than its factorization.

27829085934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57553.

The product of its (nonzero) digits is 8709120, while the sum is 57.

It can be divided in two parts, 2782 and 9085934, that added together give a triangular number (9088716 = T₄₂₆₃).

The spelling of 27829085934 in words is "twenty-seven billion, eight hundred twenty-nine million, eighty-five thousand, nine hundred thirty-four".