29408483328 has 768 divisors, whose sum is σ = 104727168000. Its totient is φ = 7134511104.

The previous prime is 29408483323. The next prime is 29408483341. The reversal of 29408483328 is 82338480492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29408483323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402855900 + ... + 402855972.

It is an arithmetic number, because the mean of its divisors is an integer number (136363500).

Almost surely, 2^29408483328 is an apocalyptic number.

29408483328 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 29408483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584000).

29408483328 is an abundant number, since it is smaller than the sum of its proper divisors (75318684672).

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

29408483328 is a wasteful number, since it uses less digits than its factorization.

29408483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 29408483328 in words is "twenty-nine billion, four hundred eight million, four hundred eighty-three thousand, three hundred twenty-eight".