428080824 has 144 divisors (see below), whose sum is σ = 1231350120. Its totient is φ = 134265600.

The previous prime is 428080817. The next prime is 428080831.

428080824 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (428080817) and next prime (428080831).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4238374 + ... + 4238474.

Almost surely, 2^428080824 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 428080824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615675060).

428080824 is an abundant number, since it is smaller than the sum of its proper divisors (803269296).

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

428080824 is a wasteful number, since it uses less digits than its factorization.

428080824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 428080824 is about 20690.1141611157. The cubic root of 428080824 is about 753.6596390114.

The spelling of 428080824 in words is "four hundred twenty-eight million, eighty thousand, eight hundred twenty-four".