27847536948 has 288 divisors, whose sum is σ = 91901601792. Its totient is φ = 6894201600.

The previous prime is 27847536947. The next prime is 27847536991. The reversal of 27847536948 is 84963574872.

27847536948 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 7 + 536 + 94 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27847536943) 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, 23780403 + ... + 23781573.

It is an arithmetic number, because the mean of its divisors is an integer number (319102784).

Almost surely, 2^27847536948 is an apocalyptic number.

27847536948 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 27847536948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45950800896).

27847536948 is an abundant number, since it is smaller than the sum of its proper divisors (64054064844).

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

27847536948 is a wasteful number, since it uses less digits than its factorization.

27847536948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1590 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 27847536948 in words is "twenty-seven billion, eight hundred forty-seven million, five hundred thirty-six thousand, nine hundred forty-eight".