1007728065 has 12 divisors (see below), whose sum is σ = 1746728724. Its totient is φ = 537454944.

The previous prime is 1007728031. The next prime is 1007728121. The reversal of 1007728065 is 5608277001.

It can be written as a sum of positive squares in 2 ways, for example, as 233998209 + 773729856 = 15297^2 + 27816^2 .

It is not a de Polignac number, because 1007728065 - 2¹⁰ = 1007727041 is a prime.

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, 11196934 + ... + 11197023.

It is an arithmetic number, because the mean of its divisors is an integer number (145560727).

Almost surely, 2^1007728065 is an apocalyptic number.

1007728065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007728065 is a deficient number, since it is larger than the sum of its proper divisors (739000659).

1007728065 is a wasteful number, since it uses less digits than its factorization.

1007728065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393968 (or 22393965 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1007728065 is about 31744.7328701944. The cubic root of 1007728065 is about 1002.5694141234.

The spelling of 1007728065 in words is "one billion, seven million, seven hundred twenty-eight thousand, sixty-five".