27678032928 has 1152 divisors, whose sum is σ = 111429706752. Its totient is φ = 6306398208.

The previous prime is 27678032927. The next prime is 27678032939. The reversal of 27678032928 is 82923087672.

27678032928 is a `hidden beast` number, since 276 + 7 + 80 + 3 + 292 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27678032927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379151100 + ... + 379151172.

It is an arithmetic number, because the mean of its divisors is an integer number (96727176).

Almost surely, 2^27678032928 is an apocalyptic number.

27678032928 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 27678032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55714853376).

27678032928 is an abundant number, since it is smaller than the sum of its proper divisors (83751673824).

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

27678032928 is a wasteful number, since it uses less digits than its factorization.

27678032928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27678032928 in words is "twenty-seven billion, six hundred seventy-eight million, thirty-two thousand, nine hundred twenty-eight".