29088000 has 216 divisors, whose sum is σ = 105703416. Its totient is φ = 7680000.

The previous prime is 29087999. The next prime is 29088001. The reversal of 29088000 is 88092.

It is an interprime number because it is at equal distance from previous prime (29087999) and next prime (29088001).

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 28901376 = 432^2 + 5376^2 .

It is a super-2 number, since 2×29088000² = 1692223488000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29088001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287950 + ... + 288050.

Almost surely, 2^29088000 is an apocalyptic number.

29088000 is a gapful number since it is divisible by the number (20) 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 29088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52851708).

29088000 is an abundant number, since it is smaller than the sum of its proper divisors (76615416).

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

29088000 is a wasteful number, since it uses less digits than its factorization.

29088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29088000 is about 5393.3292130186. The cubic root of 29088000 is about 307.5421318436.

The spelling of 29088000 in words is "twenty-nine million, eighty-eight thousand".