29229984 has 168 divisors, whose sum is σ = 99156960. Its totient is φ = 8304768.

The previous prime is 29229929. The next prime is 29230009. The reversal of 29229984 is 48992292.

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 an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 163207 + ... + 163385.

It is an arithmetic number, because the mean of its divisors is an integer number (590220).

Almost surely, 2^29229984 is an apocalyptic number.

29229984 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 29229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578480).

29229984 is an abundant number, since it is smaller than the sum of its proper divisors (69926976).

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

29229984 is an equidigital number, since it uses as much as digits as its factorization.

29229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29229984 is about 5406.4761166586. The cubic root of 29229984 is about 308.0417102111.

It can be divided in two parts, 292 and 29984, that added together give a square (30276 = 174²).

The spelling of 29229984 in words is "twenty-nine million, two hundred twenty-nine thousand, nine hundred eighty-four".