29088972 has 144 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 7956480.

The previous prime is 29088971. The next prime is 29088973. The reversal of 29088972 is 27988092.

It is an interprime number because it is at equal distance from previous prime (29088971) and next prime (29088973).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29088971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195154 + ... + 195302.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^29088972 is an apocalyptic number.

29088972 is a gapful number since it is divisible by the number (22) 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 29088972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

29088972 is an abundant number, since it is smaller than the sum of its proper divisors (59363028).

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

29088972 is a wasteful number, since it uses less digits than its factorization.

29088972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29088972 is about 5393.4193235831. The cubic root of 29088972 is about 307.5455573985.

The spelling of 29088972 in words is "twenty-nine million, eighty-eight thousand, nine hundred seventy-two".