47219328 has 128 divisors (see below), whose sum is σ = 150225600. Its totient is φ = 14515200.

The previous prime is 47219303. The next prime is 47219329. The reversal of 47219328 is 82391274.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 47219292 and 47219301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47219329) 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 15 ways as a sum of consecutive naturals, for example, 44403 + ... + 45453.

Almost surely, 2^47219328 is an apocalyptic number.

47219328 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 47219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75112800).

47219328 is an abundant number, since it is smaller than the sum of its proper divisors (103006272).

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

47219328 is a wasteful number, since it uses less digits than its factorization.

47219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

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

The square root of 47219328 is about 6871.6321205373. The cubic root of 47219328 is about 361.4430963617.

The spelling of 47219328 in words is "forty-seven million, two hundred nineteen thousand, three hundred twenty-eight".