1963225728 has 128 divisors (see below), whose sum is σ = 5849496000. Its totient is φ = 648170496.

The previous prime is 1963225709. The next prime is 1963225793. The reversal of 1963225728 is 8275223691.

1963225728 is a `hidden beast` number, since 1 + 9 + 632 + 2 + 5 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1963225728² = 7708510518162259968, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 367138 + ... + 372446.

Almost surely, 2^1963225728 is an apocalyptic number.

1963225728 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 1963225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924748000).

1963225728 is an abundant number, since it is smaller than the sum of its proper divisors (3886270272).

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

1963225728 is a wasteful number, since it uses less digits than its factorization.

1963225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5421 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1963225728 is about 44308.3031496355. The cubic root of 1963225728 is about 1252.1511180029.

The spelling of 1963225728 in words is "one billion, nine hundred sixty-three million, two hundred twenty-five thousand, seven hundred twenty-eight".