3928827264 has 64 divisors (see below), whose sum is σ = 10448667840. Its totient is φ = 1308013056.

The previous prime is 3928827263. The next prime is 3928827293. The reversal of 3928827264 is 4627288293.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928827263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333279 + ... + 344865.

It is an arithmetic number, because the mean of its divisors is an integer number (163260435).

Almost surely, 2^3928827264 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 3928827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224333920).

3928827264 is an abundant number, since it is smaller than the sum of its proper divisors (6519840576).

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

3928827264 is a wasteful number, since it uses less digits than its factorization.

3928827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12475 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 3928827264 is about 62680.3578802802. The cubic root of 3928827264 is about 1577.9296795598.

The spelling of 3928827264 in words is "three billion, nine hundred twenty-eight million, eight hundred twenty-seven thousand, two hundred sixty-four".