27971400 has 48 divisors (see below), whose sum is σ = 86713200. Its totient is φ = 7458880.

The previous prime is 27971357. The next prime is 27971407. The reversal of 27971400 is 417972.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27971407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22710 + ... + 23909.

It is an arithmetic number, because the mean of its divisors is an integer number (1806525).

Almost surely, 2^27971400 is an apocalyptic number.

27971400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27971400 is an abundant number, since it is smaller than the sum of its proper divisors (58741800).

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

27971400 is a wasteful number, since it uses less digits than its factorization.

27971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46638 (or 46629 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 27971400 is about 5288.7994857056. The cubic root of 27971400 is about 303.5554733417. Note that the first 3 decimals are identical.

The spelling of 27971400 in words is "twenty-seven million, nine hundred seventy-one thousand, four hundred".