47837328 has 180 divisors, whose sum is σ = 160556688. Its totient is φ = 12136320.

The previous prime is 47837311. The next prime is 47837329. The reversal of 47837328 is 82373874.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47837328.

It is not an unprimeable number, because it can be changed into a prime (47837329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1112475 + ... + 1112517.

Almost surely, 2^47837328 is an apocalyptic number.

47837328 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 47837328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80278344).

47837328 is an abundant number, since it is smaller than the sum of its proper divisors (112719360).

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

47837328 is a wasteful number, since it uses less digits than its factorization.

47837328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 47837328 is about 6916.4534264318. The cubic root of 47837328 is about 363.0131057961.

The spelling of 47837328 in words is "forty-seven million, eight hundred thirty-seven thousand, three hundred twenty-eight".