273728000 has 320 divisors, whose sum is σ = 857945088. Its totient is φ = 84787200.

The previous prime is 273727997. The next prime is 273728009. The reversal of 273728000 is 827372.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (29) 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 (273728009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823977 + ... + 5824023.

Almost surely, 2^273728000 is an apocalyptic number.

273728000 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 273728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

273728000 is an abundant number, since it is smaller than the sum of its proper divisors (584217088).

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

273728000 is an equidigital number, since it uses as much as digits as its factorization.

273728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 273728000 is about 16544.7272567426. The cubic root of 273728000 is about 649.2915357859.

The spelling of 273728000 in words is "two hundred seventy-three million, seven hundred twenty-eight thousand".