29190144 has 48 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 9728000.

The previous prime is 29190103. The next prime is 29190167. The reversal of 29190144 is 44109192.

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

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, 3769 + ... + 8519.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^29190144 is an apocalyptic number.

29190144 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 29190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

29190144 is an abundant number, since it is smaller than the sum of its proper divisors (48647616).

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

29190144 is an equidigital number, since it uses as much as digits as its factorization.

29190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29190144 is about 5402.7903901595. The cubic root of 29190144 is about 307.9016946065.

The spelling of 29190144 in words is "twenty-nine million, one hundred ninety thousand, one hundred forty-four".