30828845931129 has 27 divisors (see below), whose sum is σ = 44632007093583. Its totient is φ = 20505846287664.

The previous prime is 30828845931127. The next prime is 30828845931151. The reversal of 30828845931129 is 92113954882803.

The square root of 30828845931129 is 5552373.

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

30828845931129 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 8 + 8 + 4 + 593 + 11 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8166866519529 + 22661979411600 = 2857773^2 + 4760460^2 .

It is not a de Polignac number, because 30828845931129 - 2¹ = 30828845931127 is a prime.

It is a super-2 number, since 2×30828845931129² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30828845931127) 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, 8311900527 + ... + 8311904235.

Almost surely, 2^{30828845931129} is an apocalyptic number.

30828845931129 is the 5552373-rd square number.

30828845931129 is the 2776187-th centered octagonal number.

It is an amenable number.

30828845931129 is a deficient number, since it is larger than the sum of its proper divisors (13803161162454).

30828845931129 is an frugal number, since it uses more digits than its factorization.

30828845931129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8422 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 30828845931129 in words is "thirty trillion, eight hundred twenty-eight billion, eight hundred forty-five million, nine hundred thirty-one thousand, one hundred twenty-nine".