29728566000 has 1280 divisors, whose sum is σ = 130734489600. Its totient is φ = 6314112000.

The previous prime is 29728565939. The next prime is 29728566017. The reversal of 29728566000 is 66582792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 503873971 + ... + 503874029.

It is an arithmetic number, because the mean of its divisors is an integer number (102136320).

Almost surely, 2^29728566000 is an apocalyptic number.

29728566000 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 29728566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65367244800).

29728566000 is an abundant number, since it is smaller than the sum of its proper divisors (101005923600).

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

29728566000 is a wasteful number, since it uses less digits than its factorization.

29728566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29728566000 in words is "twenty-nine billion, seven hundred twenty-eight million, five hundred sixty-six thousand".