52728320 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 20557824.

The previous prime is 52728311. The next prime is 52728329. The reversal of 52728320 is 2382725.

It is an interprime number because it is at equal distance from previous prime (52728311) and next prime (52728329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (52728329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109841 + ... + 110319.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^52728320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

52728320 is an abundant number, since it is smaller than the sum of its proper divisors (76906240).

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

52728320 is an equidigital number, since it uses as much as digits as its factorization.

52728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 52728320 is about 7261.4268570302. The cubic root of 52728320 is about 374.9856468580.

Subtracting from 52728320 its reverse (2382725), we obtain a triangular number (50345595 = T₁₀₀₃₄).

The spelling of 52728320 in words is "fifty-two million, seven hundred twenty-eight thousand, three hundred twenty".