29385984 has 72 divisors (see below), whose sum is σ = 79323552. Its totient is φ = 9656320.

The previous prime is 29385949. The next prime is 29385991. The reversal of 29385984 is 48958392.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 63514 + ... + 63974.

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

Almost surely, 2^29385984 is an apocalyptic number.

29385984 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 29385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661776).

29385984 is an abundant number, since it is smaller than the sum of its proper divisors (49937568).

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

29385984 is an equidigital number, since it uses as much as digits as its factorization.

29385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 29385984 is about 5420.8840607414. The cubic root of 29385984 is about 308.5887429046.

The spelling of 29385984 in words is "twenty-nine million, three hundred eighty-five thousand, nine hundred eighty-four".