1007128827 has 6 divisors (see below), whose sum is σ = 1454741652. Its totient is φ = 671419212.

The previous prime is 1007128817. The next prime is 1007128847. The reversal of 1007128827 is 7288217001.

It is a happy number.

It is not a de Polignac number, because 1007128827 - 2⁷ = 1007128699 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007128791 and 1007128800.

It is not an unprimeable number, because it can be changed into a prime (1007128817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55951593 + ... + 55951610.

It is an arithmetic number, because the mean of its divisors is an integer number (242456942).

Almost surely, 2^1007128827 is an apocalyptic number.

1007128827 is a deficient number, since it is larger than the sum of its proper divisors (447612825).

1007128827 is a wasteful number, since it uses less digits than its factorization.

1007128827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111903209 (or 111903206 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1007128827 is about 31735.2930819931. The cubic root of 1007128827 is about 1002.3706512384.

The spelling of 1007128827 in words is "one billion, seven million, one hundred twenty-eight thousand, eight hundred twenty-seven".