420329728 has 72 divisors (see below), whose sum is σ = 1032694208. Its totient is φ = 166275072.

The previous prime is 420329719. The next prime is 420329737. The reversal of 420329728 is 827923024.

It is an interprime number because it is at equal distance from previous prime (420329719) and next prime (420329737).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14275 + ... + 32317.

Almost surely, 2^420329728 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 420329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516347104).

420329728 is an abundant number, since it is smaller than the sum of its proper divisors (612364480).

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

420329728 is a wasteful number, since it uses less digits than its factorization.

420329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18065 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 420329728 is about 20501.9444931450. The cubic root of 420329728 is about 749.0831629290.

The spelling of 420329728 in words is "four hundred twenty million, three hundred twenty-nine thousand, seven hundred twenty-eight".