29248128000 has 1760 divisors, whose sum is σ = 138482792448. Its totient is φ = 5971968000.

The previous prime is 29248127981. The next prime is 29248128047. The reversal of 29248128000 is 82184292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 943487985 + ... + 943488015.

Almost surely, 2^29248128000 is an apocalyptic number.

29248128000 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 29248128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69241396224).

29248128000 is an abundant number, since it is smaller than the sum of its proper divisors (109234664448).

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

29248128000 is a wasteful number, since it uses less digits than its factorization.

29248128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 29248128000 in words is "twenty-nine billion, two hundred forty-eight million, one hundred twenty-eight thousand".