27938400 has 144 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 6382080.

The previous prime is 27938387. The next prime is 27938401. The reversal of 27938400 is 483972.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27938401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15969 + ... + 17631.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 2^27938400 is an apocalyptic number.

27938400 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 27938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

27938400 is an abundant number, since it is smaller than the sum of its proper divisors (76054944).

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

27938400 is a wasteful number, since it uses less digits than its factorization.

27938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 27938400 is about 5285.6787643594. The cubic root of 27938400 is about 303.4360504954.

The spelling of 27938400 in words is "twenty-seven million, nine hundred thirty-eight thousand, four hundred".