29248128000000 has 3920 divisors, whose sum is σ = 138762233820672. Its totient is φ = 5971968000000.

The previous prime is 29248127999977. The next prime is 29248128000029. The reversal of 29248128000000 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 polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 943487999985 + ... + 943488000015.

Almost surely, 2^{29248128000000} is an apocalyptic number.

29248128000000 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 29248128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69381116910336).

29248128000000 is an abundant number, since it is smaller than the sum of its proper divisors (109514105820672).

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

29248128000000 is an frugal number, since it uses more digits than its factorization.

29248128000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 61 counting only the distinct ones).

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

The spelling of 29248128000000 in words is "twenty-nine trillion, two hundred forty-eight billion, one hundred twenty-eight million", and thus it is an aban number.