29382144 has 160 divisors (see below), whose sum is σ = 89565696. Its totient is φ = 8478720.

The previous prime is 29382139. The next prime is 29382161. The reversal of 29382144 is 44128392.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625129 + ... + 625175.

Almost surely, 2^29382144 is an apocalyptic number.

29382144 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 29382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782848).

29382144 is an abundant number, since it is smaller than the sum of its proper divisors (60183552).

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

29382144 is a wasteful number, since it uses less digits than its factorization.

29382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 29382144 is about 5420.5298633990. The cubic root of 29382144 is about 308.5753007549.

The spelling of 29382144 in words is "twenty-nine million, three hundred eighty-two thousand, one hundred forty-four".