29152992 has 96 divisors (see below), whose sum is σ = 87937920. Its totient is φ = 8363520.

The previous prime is 29152979. The next prime is 29152993. The reversal of 29152992 is 29925192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 29152992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29152993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19338 + ... + 20790.

It is an arithmetic number, because the mean of its divisors is an integer number (916020).

Almost surely, 2^29152992 is an apocalyptic number.

29152992 is a gapful number since it is divisible by the number (22) 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 29152992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968960).

29152992 is an abundant number, since it is smaller than the sum of its proper divisors (58784928).

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

29152992 is a wasteful number, since it uses less digits than its factorization.

29152992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 29152992 is about 5399.3510721197. The cubic root of 29152992 is about 307.7710109953.

The spelling of 29152992 in words is "twenty-nine million, one hundred fifty-two thousand, nine hundred ninety-two".