15328420864 has 99 divisors (see below), whose sum is σ = 31664611083. Its totient is φ = 7416594432.

The previous prime is 15328420853. The next prime is 15328420879. The reversal of 15328420864 is 46802482351.

It is a happy number.

The square root of 15328420864 is 123808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1309860864 + 14018560000 = 36192^2 + 118400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15328420864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 209978332 + ... + 209978404.

Almost surely, 2^15328420864 is an apocalyptic number.

15328420864 is the 123808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15328420864

15328420864 is an abundant number, since it is smaller than the sum of its proper divisors (16336190219).

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

15328420864 is an frugal number, since it uses more digits than its factorization.

15328420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 15328420864 in words is "fifteen billion, three hundred twenty-eight million, four hundred twenty thousand, eight hundred sixty-four".