29119108346328 has 1536 divisors, whose sum is σ = 105034495426560. Its totient is φ = 6604416000000.

The previous prime is 29119108346243. The next prime is 29119108346347. The reversal of 29119108346328 is 82364380191192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55890802708 + ... + 55890803228.

It is an arithmetic number, because the mean of its divisors is an integer number (68381832960).

Almost surely, 2^{29119108346328} is an apocalyptic number.

29119108346328 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 29119108346328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52517247713280).

29119108346328 is an abundant number, since it is smaller than the sum of its proper divisors (75915387080232).

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

29119108346328 is a wasteful number, since it uses less digits than its factorization.

29119108346328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 29119108346328 in words is "twenty-nine trillion, one hundred nineteen billion, one hundred eight million, three hundred forty-six thousand, three hundred twenty-eight".