27617993928 has 384 divisors, whose sum is σ = 92461824000. Its totient is φ = 7558894080.

The previous prime is 27617993927. The next prime is 27617994013. The reversal of 27617993928 is 82939971672.

27617993928 is a `hidden beast` number, since 2 + 7 + 617 + 9 + 9 + 3 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27617993927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32917333 + ... + 32918171.

It is an arithmetic number, because the mean of its divisors is an integer number (240786000).

Almost surely, 2^27617993928 is an apocalyptic number.

27617993928 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 27617993928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912000).

27617993928 is an abundant number, since it is smaller than the sum of its proper divisors (64843830072).

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

27617993928 is a wasteful number, since it uses less digits than its factorization.

27617993928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 27617993928 in words is "twenty-seven billion, six hundred seventeen million, nine hundred ninety-three thousand, nine hundred twenty-eight".