10928624387409 has 27 divisors (see below), whose sum is σ = 16025890544937. Its totient is φ = 7176570688584.

The previous prime is 10928624387383. The next prime is 10928624387413. The reversal of 10928624387409 is 90478342682901.

The square root of 10928624387409 is 3305847.

It is a perfect power (a square), and thus also a powerful number.

10928624387409 is a `hidden beast` number, since 1 + 0 + 92 + 8 + 62 + 4 + 3 + 87 + 409 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10928624387409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10928624387609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 664467024 + ... + 664483470.

Almost surely, 2^{10928624387409} is an apocalyptic number.

10928624387409 is the 3305847-th square number.

10928624387409 is the 1652924-th centered octagonal number.

It is an amenable number.

10928624387409 is a deficient number, since it is larger than the sum of its proper divisors (5097266157528).

10928624387409 is an frugal number, since it uses more digits than its factorization.

10928624387409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33034 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10928624387409 in words is "ten trillion, nine hundred twenty-eight billion, six hundred twenty-four million, three hundred eighty-seven thousand, four hundred nine".