9828429976953 has 24 divisors (see below), whose sum is σ = 16232484198528. Its totient is φ = 5613554564352.

The previous prime is 9828429976931. The next prime is 9828429976979. The reversal of 9828429976953 is 3596799248289.

9828429976953 is a `hidden beast` number, since 9 + 82 + 8 + 429 + 9 + 7 + 69 + 53 = 666.

9828429976953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9828429976953 - 2¹⁰ = 9828429975929 is a prime.

It is a super-2 number, since 2×9828429976953² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9828429976853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37244376 + ... + 37507337.

It is an arithmetic number, because the mean of its divisors is an integer number (676353508272).

Almost surely, 2^{9828429976953} is an apocalyptic number.

It is an amenable number.

9828429976953 is a deficient number, since it is larger than the sum of its proper divisors (6404054221575).

9828429976953 is a wasteful number, since it uses less digits than its factorization.

9828429976953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74753813 (or 74753810 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 9828429976953 in words is "nine trillion, eight hundred twenty-eight billion, four hundred twenty-nine million, nine hundred seventy-six thousand, nine hundred fifty-three".