428434751360 has 512 divisors, whose sum is σ = 1350261964800. Its totient is φ = 125936640000.

The previous prime is 428434751359. The next prime is 428434751411. The reversal of 428434751360 is 63157434824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235015409 + ... + 235017231.

It is an arithmetic number, because the mean of its divisors is an integer number (2637230400).

Almost surely, 2^428434751360 is an apocalyptic number.

428434751360 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 428434751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675130982400).

428434751360 is an abundant number, since it is smaller than the sum of its proper divisors (921827213440).

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

428434751360 is a wasteful number, since it uses less digits than its factorization.

428434751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 428434751360 in words is "four hundred twenty-eight billion, four hundred thirty-four million, seven hundred fifty-one thousand, three hundred sixty".