428800029 has 48 divisors (see below), whose sum is σ = 696476160. Its totient is φ = 233694720.

The previous prime is 428800013. The next prime is 428800033. The reversal of 428800029 is 920008824.

It is not a de Polignac number, because 428800029 - 2⁴ = 428800013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428800069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332017 + ... + 333305.

It is an arithmetic number, because the mean of its divisors is an integer number (14509920).

Almost surely, 2^428800029 is an apocalyptic number.

428800029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

428800029 is a deficient number, since it is larger than the sum of its proper divisors (267676131).

428800029 is a wasteful number, since it uses less digits than its factorization.

428800029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 428800029 is about 20707.4872691015. The cubic root of 428800029 is about 754.0814694081.

The spelling of 428800029 in words is "four hundred twenty-eight million, eight hundred thousand, twenty-nine".