27728631 has 24 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 15768576.

The previous prime is 27728629. The next prime is 27728633. The reversal of 27728631 is 13682772.

It is an interprime number because it is at equal distance from previous prime (27728629) and next prime (27728633).

It is not a de Polignac number, because 27728631 - 2¹ = 27728629 is a prime.

It is a super-2 number, since 2×27728631² = 1537753954268322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13735 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^27728631 is an apocalyptic number.

27728631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27728631 is a deficient number, since it is larger than the sum of its proper divisors (18266409).

27728631 is a wasteful number, since it uses less digits than its factorization.

27728631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2132 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27728631 is about 5265.7982300882. The cubic root of 27728631 is about 302.6747154531.

The spelling of 27728631 in words is "twenty-seven million, seven hundred twenty-eight thousand, six hundred thirty-one".