27948903312 has 180 divisors, whose sum is σ = 84309808688. Its totient is φ = 7970688000.

The previous prime is 27948903289. The next prime is 27948903349. The reversal of 27948903312 is 21330984972.

It is a super-2 number, since 2×27948903312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670187 + ... + 1686837.

Almost surely, 2^27948903312 is an apocalyptic number.

27948903312 is a gapful number since it is divisible by the number (22) 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 27948903312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42154904344).

27948903312 is an abundant number, since it is smaller than the sum of its proper divisors (56360905376).

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

27948903312 is a wasteful number, since it uses less digits than its factorization.

27948903312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718 (or 16684 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 27948903312 in words is "twenty-seven billion, nine hundred forty-eight million, nine hundred three thousand, three hundred twelve".