47528320 has 96 divisors (see below), whose sum is σ = 131127120. Its totient is φ = 16137216.

The previous prime is 47528297. The next prime is 47528347. The reversal of 47528320 is 2382574.

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 11 ways as a sum of consecutive naturals, for example, 461389 + ... + 461491.

Almost surely, 2^47528320 is an apocalyptic number.

47528320 is a gapful number since it is divisible by the number (40) 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 47528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563560).

47528320 is an abundant number, since it is smaller than the sum of its proper divisors (83598800).

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

47528320 is an equidigital number, since it uses as much as digits as its factorization.

47528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 47528320 is about 6894.0786186408. The cubic root of 47528320 is about 362.2297819748.

The spelling of 47528320 in words is "forty-seven million, five hundred twenty-eight thousand, three hundred twenty".