1965743728 has 160 divisors (see below), whose sum is σ = 4559708160. Its totient is φ = 812298240.

The previous prime is 1965743657. The next prime is 1965743749. The reversal of 1965743728 is 8273475691.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8659551 + ... + 8659777.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^1965743728 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 1965743728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279854080).

1965743728 is an abundant number, since it is smaller than the sum of its proper divisors (2593964432).

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

1965743728 is a wasteful number, since it uses less digits than its factorization.

1965743728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 1965743728 is about 44336.7085832947. The cubic root of 1965743728 is about 1252.6862185555.

The spelling of 1965743728 in words is "one billion, nine hundred sixty-five million, seven hundred forty-three thousand, seven hundred twenty-eight".