428310029 has 24 divisors (see below), whose sum is σ = 508562208. Its totient is φ = 359583840.

The previous prime is 428310023. The next prime is 428310031. The reversal of 428310029 is 920013824.

It is not a de Polignac number, because 428310029 - 2⁸ = 428309773 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 428309983 and 428310010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428310023) 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, 928859 + ... + 929319.

It is an arithmetic number, because the mean of its divisors is an integer number (21190092).

Almost surely, 2^428310029 is an apocalyptic number.

428310029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

428310029 is a deficient number, since it is larger than the sum of its proper divisors (80252179).

428310029 is a wasteful number, since it uses less digits than its factorization.

428310029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 428310029 is about 20695.6524178389. The cubic root of 428310029 is about 753.7941243133.

The spelling of 428310029 in words is "four hundred twenty-eight million, three hundred ten thousand, twenty-nine".