29145888 has 72 divisors (see below), whose sum is σ = 87773868. Its totient is φ = 9142272.

The previous prime is 29145863. The next prime is 29145913. The reversal of 29145888 is 88854192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29145863) and next prime (29145913).

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 1140624 = 5292^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1920 + ... + 7872.

Almost surely, 2^29145888 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 29145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43886934).

29145888 is an abundant number, since it is smaller than the sum of its proper divisors (58627980).

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

29145888 is a wasteful number, since it uses less digits than its factorization.

29145888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5975 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 29145888 is about 5398.6931752045. The cubic root of 29145888 is about 307.7460097549.

The spelling of 29145888 in words is "twenty-nine million, one hundred forty-five thousand, eight hundred eighty-eight".