29893248 has 192 divisors, whose sum is σ = 107565120. Its totient is φ = 7741440.

The previous prime is 29893247. The next prime is 29893267. The reversal of 29893248 is 84239892.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29893247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88536 + ... + 88872.

It is an arithmetic number, because the mean of its divisors is an integer number (560235).

Almost surely, 2^29893248 is an apocalyptic number.

29893248 is a gapful number since it is divisible by the number (28) 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 29893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53782560).

29893248 is an abundant number, since it is smaller than the sum of its proper divisors (77671872).

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

29893248 is a wasteful number, since it uses less digits than its factorization.

29893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 29893248 is about 5467.4718106269. The cubic root of 29893248 is about 310.3542533638.

The spelling of 29893248 in words is "twenty-nine million, eight hundred ninety-three thousand, two hundred forty-eight".