29993088 has 64 divisors (see below), whose sum is σ = 81861120. Its totient is φ = 9722880.

The previous prime is 29993087. The next prime is 29993107. The reversal of 29993088 is 88039992.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (29993087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13153 + ... + 15263.

It is an arithmetic number, because the mean of its divisors is an integer number (1279080).

Almost surely, 2^29993088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40930560).

29993088 is an abundant number, since it is smaller than the sum of its proper divisors (51868032).

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

29993088 is a wasteful number, since it uses less digits than its factorization.

29993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 29993088 is about 5476.5945623170. The cubic root of 29993088 is about 310.6993852168.

The spelling of 29993088 in words is "twenty-nine million, nine hundred ninety-three thousand, eighty-eight".