27957150 has 168 divisors, whose sum is σ = 85385160. Its totient is φ = 6765120.

The previous prime is 27957143. The next prime is 27957191. The reversal of 27957150 is 5175972.

27957150 = T₁₄₈₃ + T₁₄₈₄ + ... + T₁₅₀₇.

It is a super-2 number, since 2×27957150² = 1563204472245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 473821 + ... + 473879.

It is an arithmetic number, because the mean of its divisors is an integer number (508245).

Almost surely, 2^27957150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27957150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692580).

27957150 is an abundant number, since it is smaller than the sum of its proper divisors (57428010).

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

27957150 is a wasteful number, since it uses less digits than its factorization.

27957150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 27957150 is about 5287.4521274429. The cubic root of 27957150 is about 303.5039159143.

The spelling of 27957150 in words is "twenty-seven million, nine hundred fifty-seven thousand, one hundred fifty".