27948159000 has 192 divisors, whose sum is σ = 97964324640. Its totient is φ = 7452777600.

The previous prime is 27948158983. The next prime is 27948159011. The reversal of 27948159000 is 95184972.

It is a super-3 number, since 3×27948159000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185494 + ... + 300506.

Almost surely, 2^27948159000 is an apocalyptic number.

27948159000 is a gapful number since it is divisible by the number (20) 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 27948159000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48982162320).

27948159000 is an abundant number, since it is smaller than the sum of its proper divisors (70016165640).

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

27948159000 is a wasteful number, since it uses less digits than its factorization.

27948159000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115049 (or 115023 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 27948159000 in words is "twenty-seven billion, nine hundred forty-eight million, one hundred fifty-nine thousand".