29268288 has 252 divisors, whose sum is σ = 105023412. Its totient is φ = 7741440.

The previous prime is 29268287. The next prime is 29268299. The reversal of 29268288 is 88286292.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 19079424 = 3192^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 (29268287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479778 + ... + 479838.

Almost surely, 2^29268288 is an apocalyptic number.

29268288 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 29268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511706).

29268288 is an abundant number, since it is smaller than the sum of its proper divisors (75755124).

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

29268288 is a wasteful number, since it uses less digits than its factorization.

29268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 29268288 is about 5410.0173752032. The cubic root of 29268288 is about 308.1762077118.

The spelling of 29268288 in words is "twenty-nine million, two hundred sixty-eight thousand, two hundred eighty-eight".