29729748048 has 480 divisors, whose sum is σ = 107841847680. Its totient is φ = 6932459520.

The previous prime is 29729748023. The next prime is 29729748109. The reversal of 29729748048 is 84084792792.

It is a junction number, because it is equal to n+sod(n) for n = 29729747982 and 29729748000.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 12443238 + ... + 12445626.

It is an arithmetic number, because the mean of its divisors is an integer number (224670516).

Almost surely, 2^29729748048 is an apocalyptic number.

29729748048 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 29729748048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53920923840).

29729748048 is an abundant number, since it is smaller than the sum of its proper divisors (78112099632).

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

29729748048 is a wasteful number, since it uses less digits than its factorization.

29729748048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

It can be divided in two parts, 29729 and 748048, that added together give a palindrome (777777).

The spelling of 29729748048 in words is "twenty-nine billion, seven hundred twenty-nine million, seven hundred forty-eight thousand, forty-eight".