29255292 has 36 divisors (see below), whose sum is σ = 80674776. Its totient is φ = 8865120.

The previous prime is 29255267. The next prime is 29255293.

29255292 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×29255292² = 1711744220010528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29255293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36543 + ... + 37334.

It is an arithmetic number, because the mean of its divisors is an integer number (2240966).

Almost surely, 2^29255292 is an apocalyptic number.

29255292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29255292 is an abundant number, since it is smaller than the sum of its proper divisors (51419484).

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

29255292 is a wasteful number, since it uses less digits than its factorization.

29255292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73898 (or 73893 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 29255292 is about 5408.8161366421. The cubic root of 29255292 is about 308.1305877911.

The spelling of 29255292 in words is "twenty-nine million, two hundred fifty-five thousand, two hundred ninety-two".