29861769728 has 90 divisors (see below), whose sum is σ = 69470151003. Its totient is φ = 12786170880.

The previous prime is 29861769673. The next prime is 29861769739. The reversal of 29861769728 is 82796716892.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 14930884864 + 14930884864 = 122192^2 + 122192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122192.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27370463 + ... + 27371553.

Almost surely, 2^29861769728 is an apocalyptic number.

29861769728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29861769728

29861769728 is an abundant number, since it is smaller than the sum of its proper divisors (39608381275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29861769728 is an frugal number, since it uses more digits than its factorization.

29861769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 1100 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 65.

The spelling of 29861769728 in words is "twenty-nine billion, eight hundred sixty-one million, seven hundred sixty-nine thousand, seven hundred twenty-eight".