27948500 has 24 divisors (see below), whose sum is σ = 61040616. Its totient is φ = 11179200.

The previous prime is 27948499. The next prime is 27948521. The reversal of 27948500 is 584972.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 27019204 = 964^2 + 5198^2 .

It is a super-2 number, since 2×27948500² = 1562237304500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27449 + ... + 28448.

It is an arithmetic number, because the mean of its divisors is an integer number (2543359).

Almost surely, 2^27948500 is an apocalyptic number.

27948500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27948500 is an abundant number, since it is smaller than the sum of its proper divisors (33092116).

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

27948500 is a wasteful number, since it uses less digits than its factorization.

27948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55916 (or 55904 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 27948500 is about 5286.6340898534. The cubic root of 27948500 is about 303.4726111059.

The spelling of 27948500 in words is "twenty-seven million, nine hundred forty-eight thousand, five hundred".