55728000 has 320 divisors, whose sum is σ = 211788720. Its totient is φ = 14515200.

The previous prime is 55727999. The next prime is 55728017. The reversal of 55728000 is 82755.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1295979 + ... + 1296021.

Almost surely, 2^55728000 is an apocalyptic number.

55728000 is a gapful number since it is divisible by the number (50) 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 55728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105894360).

55728000 is an abundant number, since it is smaller than the sum of its proper divisors (156060720).

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

55728000 is an equidigital number, since it uses as much as digits as its factorization.

55728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55728000 is about 7465.1188871980. The cubic root of 55728000 is about 381.9658056250.

The spelling of 55728000 in words is "fifty-five million, seven hundred twenty-eight thousand".