47975328 has 120 divisors (see below), whose sum is σ = 143434368. Its totient is φ = 15728256.

The previous prime is 47975311. The next prime is 47975329. The reversal of 47975328 is 82357974.

It is not an unprimeable number, because it can be changed into a prime (47975329) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 215025 + ... + 215247.

Almost surely, 2^47975328 is an apocalyptic number.

47975328 is a gapful number since it is divisible by the number (48) 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 47975328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71717184).

47975328 is an abundant number, since it is smaller than the sum of its proper divisors (95459040).

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

47975328 is a wasteful number, since it uses less digits than its factorization.

47975328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 47975328 is about 6926.4224531861. The cubic root of 47975328 is about 363.3618412294.

The spelling of 47975328 in words is "forty-seven million, nine hundred seventy-five thousand, three hundred twenty-eight".