29922992 has 80 divisors (see below), whose sum is σ = 68379552. Its totient is φ = 12533760.

The previous prime is 29922979. The next prime is 29923057.

29922992 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218348 + ... + 218484.

Almost surely, 2^29922992 is an apocalyptic number.

29922992 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 29922992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34189776).

29922992 is an abundant number, since it is smaller than the sum of its proper divisors (38456560).

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

29922992 is a wasteful number, since it uses less digits than its factorization.

29922992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 104976, while the sum is 44.

The square root of 29922992 is about 5470.1912215205. The cubic root of 29922992 is about 310.4571541583.

The spelling of 29922992 in words is "twenty-nine million, nine hundred twenty-two thousand, nine hundred ninety-two".