29945088 has 108 divisors (see below), whose sum is σ = 88723908. Its totient is φ = 9707520.

The previous prime is 29945077. The next prime is 29945093. The reversal of 29945088 is 88054992.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 28387584 = 1248^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94306 + ... + 94622.

Almost surely, 2^29945088 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 29945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44361954).

29945088 is an abundant number, since it is smaller than the sum of its proper divisors (58778820).

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

29945088 is a wasteful number, since it uses less digits than its factorization.

29945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 29945088 is about 5472.2105222661. The cubic root of 29945088 is about 310.5335521943.

The spelling of 29945088 in words is "twenty-nine million, nine hundred forty-five thousand, eighty-eight".