27948536 has 64 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 10690560.

The previous prime is 27948533. The next prime is 27948539. The reversal of 27948536 is 63584972.

It is an interprime number because it is at equal distance from previous prime (27948533) and next prime (27948539).

It is a super-2 number, since 2×27948536² = 1562241329086592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27948533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35960 + ... + 36728.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^27948536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27948536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

27948536 is an abundant number, since it is smaller than the sum of its proper divisors (38579464).

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

27948536 is a wasteful number, since it uses less digits than its factorization.

27948536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 27948536 is about 5286.6374946652. The cubic root of 27948536 is about 303.4727414052.

The spelling of 27948536 in words is "twenty-seven million, nine hundred forty-eight thousand, five hundred thirty-six".