47392128 has 160 divisors (see below), whose sum is σ = 161433360. Its totient is φ = 13519872.

The previous prime is 47392127. The next prime is 47392133. The reversal of 47392128 is 82129374.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 47392092 and 47392101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47392127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72250 + ... + 72902.

Almost surely, 2^47392128 is an apocalyptic number.

47392128 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 47392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80716680).

47392128 is an abundant number, since it is smaller than the sum of its proper divisors (114041232).

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

47392128 is an equidigital number, since it uses as much as digits as its factorization.

47392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 665 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 47392128 is about 6884.1940704777. The cubic root of 47392128 is about 361.8834621769.

The spelling of 47392128 in words is "forty-seven million, three hundred ninety-two thousand, one hundred twenty-eight".