29828478961 has 8 divisors (see below), whose sum is σ = 30191477760. Its totient is φ = 29466099168.

The previous prime is 29828478943. The next prime is 29828478971. The reversal of 29828478961 is 16987482892.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29828478961 - 2⁷ = 29828478833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29828478893 and 29828478902.

It is not an unprimeable number, because it can be changed into a prime (29828478941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57421 + ... + 250906.

It is an arithmetic number, because the mean of its divisors is an integer number (3773934720).

Almost surely, 2^29828478961 is an apocalyptic number.

It is an amenable number.

29828478961 is a deficient number, since it is larger than the sum of its proper divisors (362998799).

29828478961 is a wasteful number, since it uses less digits than its factorization.

29828478961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309503.

The product of its digits is 27869184, while the sum is 64.

The spelling of 29828478961 in words is "twenty-nine billion, eight hundred twenty-eight million, four hundred seventy-eight thousand, nine hundred sixty-one".