29964288 has 48 divisors (see below), whose sum is σ = 79901640. Its totient is φ = 9986048.

The previous prime is 29964247. The next prime is 29964293. The reversal of 29964288 is 88246992.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3706 + ... + 8582.

Almost surely, 2^29964288 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 29964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39950820).

29964288 is an abundant number, since it is smaller than the sum of its proper divisors (49937352).

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

29964288 is an equidigital number, since it uses as much as digits as its factorization.

29964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4882 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 29964288 is about 5473.9645596222. The cubic root of 29964288 is about 310.5999066537.

The spelling of 29964288 in words is "twenty-nine million, nine hundred sixty-four thousand, two hundred eighty-eight".