29832768 has 168 divisors, whose sum is σ = 100380800. Its totient is φ = 8467200.

The previous prime is 29832763. The next prime is 29832779. The reversal of 29832768 is 86723892.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29832763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197493 + ... + 197643.

Almost surely, 2^29832768 is an apocalyptic number.

29832768 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 29832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50190400).

29832768 is an abundant number, since it is smaller than the sum of its proper divisors (70548032).

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

29832768 is a wasteful number, since it uses less digits than its factorization.

29832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 29832768 is about 5461.9381175550. The cubic root of 29832768 is about 310.1448092096.

The spelling of 29832768 in words is "twenty-nine million, eight hundred thirty-two thousand, seven hundred sixty-eight".