10127000628 has 36 divisors (see below), whose sum is σ = 25949482468. Its totient is φ = 3329424000.

The previous prime is 10127000617. The next prime is 10127000629. The reversal of 10127000628 is 82600072101.

10127000628 is a `hidden beast` number, since 10 + 1 + 27 + 0 + 0 + 0 + 628 = 666.

10127000628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2222368164 + 7904632464 = 47142^2 + 88908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10127000628² (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 (10127000629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924123 + ... + 1929378.

Almost surely, 2^10127000628 is an apocalyptic number.

10127000628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10127000628 is an abundant number, since it is smaller than the sum of its proper divisors (15822481840).

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

10127000628 is a wasteful number, since it uses less digits than its factorization.

10127000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853584 (or 3853579 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10127000628 its reverse (82600072101), we get a palindrome (92727072729).

The spelling of 10127000628 in words is "ten billion, one hundred twenty-seven million, six hundred twenty-eight", and thus it is an aban number.