947845728 has 72 divisors (see below), whose sum is σ = 2725795800. Its totient is φ = 312390144.

The previous prime is 947845699. The next prime is 947845747. The reversal of 947845728 is 827548749.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7143 + ... + 44121.

It is an arithmetic number, because the mean of its divisors is an integer number (37858275).

Almost surely, 2^947845728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947845728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362897900).

947845728 is an abundant number, since it is smaller than the sum of its proper divisors (1777950072).

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

947845728 is a wasteful number, since it uses less digits than its factorization.

947845728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37084 (or 37073 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 947845728 is about 30787.1032739360. The cubic root of 947845728 is about 982.3039392788.

The spelling of 947845728 in words is "nine hundred forty-seven million, eight hundred forty-five thousand, seven hundred twenty-eight".