1928365664 has 72 divisors (see below), whose sum is σ = 3981254760. Its totient is φ = 919226880.

The previous prime is 1928365639. The next prime is 1928365697. The reversal of 1928365664 is 4665638291.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2244467 + ... + 2245325.

It is an arithmetic number, because the mean of its divisors is an integer number (55295205).

Almost surely, 2^1928365664 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 1928365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990627380).

1928365664 is an abundant number, since it is smaller than the sum of its proper divisors (2052889096).

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

1928365664 is an equidigital number, since it uses as much as digits as its factorization.

1928365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 965 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 1928365664 is about 43913.1604874894. The cubic root of 1928365664 is about 1244.6955302413.

The spelling of 1928365664 in words is "one billion, nine hundred twenty-eight million, three hundred sixty-five thousand, six hundred sixty-four".