428789760 has 208 divisors, whose sum is σ = 1569526656. Its totient is φ = 97910784.

The previous prime is 428789747. The next prime is 428789771. The reversal of 428789760 is 67987824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429582 + ... + 430578.

Almost surely, 2^428789760 is an apocalyptic number.

428789760 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 428789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784763328).

428789760 is an abundant number, since it is smaller than the sum of its proper divisors (1140736896).

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

428789760 is an equidigital number, since it uses as much as digits as its factorization.

428789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 428789760 is about 20707.2393138245. The cubic root of 428789760 is about 754.0754497222.

The spelling of 428789760 in words is "four hundred twenty-eight million, seven hundred eighty-nine thousand, seven hundred sixty".