29022768 has 30 divisors (see below), whose sum is σ = 81223844. Its totient is φ = 9674208.

The previous prime is 29022767. The next prime is 29022769. The reversal of 29022768 is 86722092.

It is an interprime number because it is at equal distance from previous prime (29022767) and next prime (29022769).

It is a super-3 number, since 3×29022768³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29022767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100630 + ... + 100917.

Almost surely, 2^29022768 is an apocalyptic number.

It is an amenable number.

29022768 is an abundant number, since it is smaller than the sum of its proper divisors (52201076).

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

29022768 is a wasteful number, since it uses less digits than its factorization.

29022768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201561 (or 201552 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29022768 is about 5387.2783481086. The cubic root of 29022768 is about 307.3120644207.

The spelling of 29022768 in words is "twenty-nine million, twenty-two thousand, seven hundred sixty-eight".