947928704 has 64 divisors (see below), whose sum is σ = 2006674560. Its totient is φ = 444493824.

The previous prime is 947928697. The next prime is 947928719. The reversal of 947928704 is 407829749.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×947928704³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797999 + ... + 799185.

It is an arithmetic number, because the mean of its divisors is an integer number (31354290).

Almost surely, 2^947928704 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 947928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003337280).

947928704 is an abundant number, since it is smaller than the sum of its proper divisors (1058745856).

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

947928704 is a wasteful number, since it uses less digits than its factorization.

947928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 947928704 is about 30788.4508216961. The cubic root of 947928704 is about 982.3326026188.

It can be divided in two parts, 9479 and 28704, that added together give a palindrome (38183).

The spelling of 947928704 in words is "nine hundred forty-seven million, nine hundred twenty-eight thousand, seven hundred four".