1107828766 has 64 divisors (see below), whose sum is σ = 1985679360. Its totient is φ = 457781760.

The previous prime is 1107828727. The next prime is 1107828767. The reversal of 1107828766 is 6678287011.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107828767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3085695 + ... + 3086053.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 2^1107828766 is an apocalyptic number.

1107828766 is a deficient number, since it is larger than the sum of its proper divisors (877850594).

1107828766 is a wasteful number, since it uses less digits than its factorization.

1107828766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 1107828766 is about 33284.0617413200. The cubic root of 1107828766 is about 1034.7232617572.

The spelling of 1107828766 in words is "one billion, one hundred seven million, eight hundred twenty-eight thousand, seven hundred sixty-six".