29958144 has 112 divisors (see below), whose sum is σ = 84929472. Its totient is φ = 9371648.

The previous prime is 29958139. The next prime is 29958161. The reversal of 29958144 is 44185992.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (103680) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 29958096 and 29958105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565222 + ... + 565274.

Almost surely, 2^29958144 is an apocalyptic number.

29958144 is a gapful number since it is divisible by the number (24) 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 29958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42464736).

29958144 is an abundant number, since it is smaller than the sum of its proper divisors (54971328).

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

29958144 is an equidigital number, since it uses as much as digits as its factorization.

29958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 29958144 is about 5473.4033288257. The cubic root of 29958144 is about 310.5786763114.

The spelling of 29958144 in words is "twenty-nine million, nine hundred fifty-eight thousand, one hundred forty-four".