29407428 has 48 divisors (see below), whose sum is σ = 76594560. Its totient is φ = 9757152.

The previous prime is 29407403. The next prime is 29407451. The reversal of 29407428 is 82470492.

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

It is a junction number, because it is equal to n+sod(n) for n = 29407392 and 29407401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29425 + ... + 30407.

It is an arithmetic number, because the mean of its divisors is an integer number (1595720).

Almost surely, 2^29407428 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 29407428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38297280).

29407428 is an abundant number, since it is smaller than the sum of its proper divisors (47187132).

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

29407428 is a wasteful number, since it uses less digits than its factorization.

29407428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

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

The square root of 29407428 is about 5422.8616062002. The cubic root of 29407428 is about 308.6637873885.

The spelling of 29407428 in words is "twenty-nine million, four hundred seven thousand, four hundred twenty-eight".