29938248000 has 560 divisors, whose sum is σ = 113227006464. Its totient is φ = 7805721600.

The previous prime is 29938247957. The next prime is 29938248007. The reversal of 29938248000 is 84283992.

29938248000 is a `hidden beast` number, since 2 + 9 + 93 + 82 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29938248007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 30455509 + ... + 30456491.

Almost surely, 2^29938248000 is an apocalyptic number.

29938248000 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 29938248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56613503232).

29938248000 is an abundant number, since it is smaller than the sum of its proper divisors (83288758464).

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

29938248000 is an equidigital number, since it uses as much as digits as its factorization.

29938248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 29938248000 in words is "twenty-nine billion, nine hundred thirty-eight million, two hundred forty-eight thousand".