29428272 has 120 divisors (see below), whose sum is σ = 88563280. Its totient is φ = 9471168.

The previous prime is 29428253. The next prime is 29428279. The reversal of 29428272 is 27282492.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (29428279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014754 + ... + 1014782.

Almost surely, 2^29428272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44281640).

29428272 is an abundant number, since it is smaller than the sum of its proper divisors (59135008).

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

29428272 is an frugal number, since it uses more digits than its factorization.

29428272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 29428272 is about 5424.7831293057. The cubic root of 29428272 is about 308.7366971818.

The spelling of 29428272 in words is "twenty-nine million, four hundred twenty-eight thousand, two hundred seventy-two".