4641395328 has 144 divisors (see below), whose sum is σ = 13628077710. Its totient is φ = 1515847680.

The previous prime is 4641395327. The next prime is 4641395347. The reversal of 4641395328 is 8235931464.

4641395328 is a `hidden beast` number, since 46 + 41 + 39 + 532 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4635975744 + 5419584 = 68088^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4641395327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18059776 + ... + 18060032.

Almost surely, 2^4641395328 is an apocalyptic number.

4641395328 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 4641395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814038855).

4641395328 is an abundant number, since it is smaller than the sum of its proper divisors (8986682382).

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

4641395328 is an equidigital number, since it uses as much as digits as its factorization.

4641395328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 323 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 4641395328 is about 68127.7867540110. The cubic root of 4641395328 is about 1668.0773561074.

The spelling of 4641395328 in words is "four billion, six hundred forty-one million, three hundred ninety-five thousand, three hundred twenty-eight".