29478144 has 72 divisors (see below), whose sum is σ = 79323552. Its totient is φ = 9717760.

The previous prime is 29478143. The next prime is 29478149. The reversal of 29478144 is 44187492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29478143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100462 + ... + 100754.

It is an arithmetic number, because the mean of its divisors is an integer number (1101716).

Almost surely, 2^29478144 is an apocalyptic number.

29478144 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 29478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661776).

29478144 is an abundant number, since it is smaller than the sum of its proper divisors (49845408).

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

29478144 is a wasteful number, since it uses less digits than its factorization.

29478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 29478144 is about 5429.3778649123. The cubic root of 29478144 is about 308.9110037898.

The spelling of 29478144 in words is "twenty-nine million, four hundred seventy-eight thousand, one hundred forty-four".