53827200 has 384 divisors, whose sum is σ = 227664000. Its totient is φ = 12165120.

The previous prime is 53827187. The next prime is 53827217. The reversal of 53827200 is 272835.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 604756 + ... + 604844.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^53827200 is an apocalyptic number.

53827200 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 53827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

53827200 is an abundant number, since it is smaller than the sum of its proper divisors (173836800).

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

53827200 is a wasteful number, since it uses less digits than its factorization.

53827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53827200 is about 7336.7022564637. The cubic root of 53827200 is about 377.5727094133.

The spelling of 53827200 in words is "fifty-three million, eight hundred twenty-seven thousand, two hundred".