428784961280 has 216 divisors, whose sum is σ = 1150524103680. Its totient is φ = 152859033600.

The previous prime is 428784961261. The next prime is 428784961307. The reversal of 428784961280 is 82169487824.

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 23 ways as a sum of consecutive naturals, for example, 6239105 + ... + 6307455.

It is an arithmetic number, because the mean of its divisors is an integer number (5326500480).

Almost surely, 2^428784961280 is an apocalyptic number.

428784961280 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 428784961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575262051840).

428784961280 is an abundant number, since it is smaller than the sum of its proper divisors (721739142400).

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

428784961280 is a wasteful number, since it uses less digits than its factorization.

428784961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68427 (or 68400 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 428784961280 in words is "four hundred twenty-eight billion, seven hundred eighty-four million, nine hundred sixty-one thousand, two hundred eighty".