10627628935 has 32 divisors (see below), whose sum is σ = 15980861952. Its totient is φ = 6591338880.

The previous prime is 10627628933. The next prime is 10627628959. The reversal of 10627628935 is 53982672601.

It is not a de Polignac number, because 10627628935 - 2¹ = 10627628933 is a prime.

It is a super-2 number, since 2×10627628935² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627628933) 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, 5784 + ... + 145906.

It is an arithmetic number, because the mean of its divisors is an integer number (499401936).

Almost surely, 2^10627628935 is an apocalyptic number.

10627628935 is a deficient number, since it is larger than the sum of its proper divisors (5353233017).

10627628935 is a wasteful number, since it uses less digits than its factorization.

10627628935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140343.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 10627628935 in words is "ten billion, six hundred twenty-seven million, six hundred twenty-eight thousand, nine hundred thirty-five".