29328768 has 96 divisors (see below), whose sum is σ = 96479760. Its totient is φ = 8377344.

The previous prime is 29328731. The next prime is 29328779. The reversal of 29328768 is 86782392.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6246 + ... + 9882.

Almost surely, 2^29328768 is an apocalyptic number.

29328768 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 29328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239880).

29328768 is an abundant number, since it is smaller than the sum of its proper divisors (67150992).

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

29328768 is a wasteful number, since it uses less digits than its factorization.

29328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3649 counting only the distinct ones).

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

The square root of 29328768 is about 5415.6041214254. The cubic root of 29328768 is about 308.3883334724.

The spelling of 29328768 in words is "twenty-nine million, three hundred twenty-eight thousand, seven hundred sixty-eight".