27728669034 has 96 divisors (see below), whose sum is σ = 67940187840. Its totient is φ = 8376588000.

The previous prime is 27728669021. The next prime is 27728669047. The reversal of 27728669034 is 43096682772.

27728669034 is a `hidden beast` number, since 277 + 286 + 6 + 90 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27728669021) and next prime (27728669047).

It is a super-2 number, since 2×27728669034² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2156344 + ... + 2169164.

It is an arithmetic number, because the mean of its divisors is an integer number (707710290).

Almost surely, 2^27728669034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728669034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33970093920).

27728669034 is an abundant number, since it is smaller than the sum of its proper divisors (40211518806).

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

27728669034 is a wasteful number, since it uses less digits than its factorization.

27728669034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13185 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27728669034 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred sixty-nine thousand, thirty-four".