29472384 has 128 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 9067520.

The previous prime is 29472379. The next prime is 29472389. The reversal of 29472384 is 48327492.

It is an interprime number because it is at equal distance from previous prime (29472379) and next prime (29472389).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29472389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415069 + ... + 415139.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 2^29472384 is an apocalyptic number.

29472384 is a gapful number since it is divisible by the number (24) 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 29472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

29472384 is an abundant number, since it is smaller than the sum of its proper divisors (55130496).

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

29472384 is a wasteful number, since it uses less digits than its factorization.

29472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 29472384 is about 5428.8473914819. The cubic root of 29472384 is about 308.8908821783.

The spelling of 29472384 in words is "twenty-nine million, four hundred seventy-two thousand, three hundred eighty-four".