10205180728 has 32 divisors (see below), whose sum is σ = 19367024400. Its totient is φ = 5040744192.

The previous prime is 10205180719. The next prime is 10205180729. The reversal of 10205180728 is 82708150201.

It is a super-2 number, since 2×10205180728² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10205180693 and 10205180702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205180729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874951 + ... + 886537.

Almost surely, 2^10205180728 is an apocalyptic number.

It is an amenable number.

10205180728 is a deficient number, since it is larger than the sum of its proper divisors (9161843672).

10205180728 is a wasteful number, since it uses less digits than its factorization.

10205180728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12919 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 10205180728 in words is "ten billion, two hundred five million, one hundred eighty thousand, seven hundred twenty-eight".