27428400 has 180 divisors, whose sum is σ = 100443720. Its totient is φ = 6912000.

The previous prime is 27428383. The next prime is 27428411. The reversal of 27428400 is 482472.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68200 + ... + 68600.

Almost surely, 2^27428400 is an apocalyptic number.

27428400 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 27428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221860).

27428400 is an abundant number, since it is smaller than the sum of its proper divisors (73015320).

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

27428400 is a wasteful number, since it uses less digits than its factorization.

27428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27428400 is about 5237.2129992965. The cubic root of 27428400 is about 301.5783481608.

The spelling of 27428400 in words is "twenty-seven million, four hundred twenty-eight thousand, four hundred".