428688780 has 144 divisors (see below), whose sum is σ = 1321254144. Its totient is φ = 103783680.

The previous prime is 428688763. The next prime is 428688787. The reversal of 428688780 is 87886824.

It is not an unprimeable number, because it can be changed into a prime (428688787) 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 47 ways as a sum of consecutive naturals, for example, 679065 + ... + 679695.

It is an arithmetic number, because the mean of its divisors is an integer number (9175376).

Almost surely, 2^428688780 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 428688780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660627072).

428688780 is an abundant number, since it is smaller than the sum of its proper divisors (892565364).

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

428688780 is a wasteful number, since it uses less digits than its factorization.

428688780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 428688780 is about 20704.8008925466. The cubic root of 428688780 is about 754.0162501452.

The spelling of 428688780 in words is "four hundred twenty-eight million, six hundred eighty-eight thousand, seven hundred eighty".