29728632960 has 640 divisors, whose sum is σ = 118104053760. Its totient is φ = 7076782080.

The previous prime is 29728632953. The next prime is 29728633021. The reversal of 29728632960 is 6923682792.

It is a happy number.

29728632960 is a `hidden beast` number, since 297 + 2 + 8 + 63 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29728632897 and 29728632906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20890809 + ... + 20892231.

It is an arithmetic number, because the mean of its divisors is an integer number (184537584).

Almost surely, 2^29728632960 is an apocalyptic number.

29728632960 is a gapful number since it is divisible by the number (20) 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 29728632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052026880).

29728632960 is an abundant number, since it is smaller than the sum of its proper divisors (88375420800).

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

29728632960 is a wasteful number, since it uses less digits than its factorization.

29728632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 29728632960 in words is "twenty-nine billion, seven hundred twenty-eight million, six hundred thirty-two thousand, nine hundred sixty".