428992320 has 112 divisors (see below), whose sum is σ = 1421343360. Its totient is φ = 109418496.

The previous prime is 428992313. The next prime is 428992327. The reversal of 428992320 is 23299824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428992313) and next prime (428992327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428992327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12366 + ... + 31794.

Almost surely, 2^428992320 is an apocalyptic number.

428992320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710671680).

428992320 is an abundant number, since it is smaller than the sum of its proper divisors (992351040).

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

428992320 is a wasteful number, since it uses less digits than its factorization.

428992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19472 (or 19462 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 428992320 is about 20712.1297794312. The cubic root of 428992320 is about 754.1941726111.

The spelling of 428992320 in words is "four hundred twenty-eight million, nine hundred ninety-two thousand, three hundred twenty".