29428 has 12 divisors (see below), whose sum is σ = 58912. Its totient is φ = 12600.

The previous prime is 29423. The next prime is 29429. The reversal of 29428 is 82492.

29428 is an admirable number.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 553.

2²⁹⁴²⁸ is an apocalyptic number.

29428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29428 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29456).

29428 is a wasteful number, since it uses less digits than its factorization.

29428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 29428 is about 171.5459122218. The cubic root of 29428 is about 30.8735745980.

Subtracting from 29428 its sum of digits (25), we obtain a triangular number (29403 = T₂₄₂).

The spelling of 29428 in words is "twenty-nine thousand, four hundred twenty-eight".