29828953 has 16 divisors (see below), whose sum is σ = 38808576. Its totient is φ = 22231440.

The previous prime is 29828941. The next prime is 29828957. The reversal of 29828953 is 35982892.

It is not a de Polignac number, because 29828953 - 2⁵ = 29828921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29828957) 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, 6651 + ... + 10192.

It is an arithmetic number, because the mean of its divisors is an integer number (2425536).

Almost surely, 2^29828953 is an apocalyptic number.

29828953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

29828953 is a deficient number, since it is larger than the sum of its proper divisors (8979623).

29828953 is a wasteful number, since it uses less digits than its factorization.

29828953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884.

The product of its digits is 311040, while the sum is 46.

The square root of 29828953 is about 5461.5888713817. The cubic root of 29828953 is about 310.1315882565.

It can be divided in two parts, 2982 and 8953, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 29828953 in words is "twenty-nine million, eight hundred twenty-eight thousand, nine hundred fifty-three".