29408433100 has 36 divisors (see below), whose sum is σ = 66016868400. Its totient is φ = 11357738560.

The previous prime is 29408433097. The next prime is 29408433143. The reversal of 29408433100 is 133480492.

It is a super-2 number, since 2×29408433100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5067520 + ... + 5073319.

It is an arithmetic number, because the mean of its divisors is an integer number (1833801900).

Almost surely, 2^29408433100 is an apocalyptic number.

29408433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29408433100 is an abundant number, since it is smaller than the sum of its proper divisors (36608435300).

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

29408433100 is a wasteful number, since it uses less digits than its factorization.

29408433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140882 (or 10140875 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 294084 and 33100, that added together give a square (327184 = 572²).

The spelling of 29408433100 in words is "twenty-nine billion, four hundred eight million, four hundred thirty-three thousand, one hundred".