1063728768 has 64 divisors (see below), whose sum is σ = 2853609120. Its totient is φ = 351052800.

The previous prime is 1063728767. The next prime is 1063728773. The reversal of 1063728768 is 8678273601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1063728768² = 2263037783741595648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1063728767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25071 + ... + 52497.

Almost surely, 2^1063728768 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 1063728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426804560).

1063728768 is an abundant number, since it is smaller than the sum of its proper divisors (1789880352).

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

1063728768 is a wasteful number, since it uses less digits than its factorization.

1063728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545 (or 27533 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1063728768 is about 32614.8550203738. The cubic root of 1063728768 is about 1020.8069892047.

The spelling of 1063728768 in words is "one billion, sixty-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight".