1963945728 has 162 divisors, whose sum is σ = 5857691112. Its totient is φ = 632816640.

The previous prime is 1963945693. The next prime is 1963945733. The reversal of 1963945728 is 8275493691.

1963945728 is a `hidden beast` number, since 1 + 9 + 63 + 9 + 4 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2213701 + ... + 2214587.

Almost surely, 2^1963945728 is an apocalyptic number.

1963945728 is a gapful number since it is divisible by the number (18) 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 1963945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928845556).

1963945728 is an abundant number, since it is smaller than the sum of its proper divisors (3893745384).

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

1963945728 is an equidigital number, since it uses as much as digits as its factorization.

1963945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 923 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1963945728 is about 44316.4272928222. The cubic root of 1963945728 is about 1252.3041719967.

The spelling of 1963945728 in words is "one billion, nine hundred sixty-three million, nine hundred forty-five thousand, seven hundred twenty-eight".