428339755920 has 480 divisors, whose sum is σ = 1474851853440. Its totient is φ = 102687989760.

The previous prime is 428339755913. The next prime is 428339755931. The reversal of 428339755920 is 29557933824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131431251 + ... + 131434509.

It is an arithmetic number, because the mean of its divisors is an integer number (3072608028).

Almost surely, 2^428339755920 is an apocalyptic number.

428339755920 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 428339755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737425926720).

428339755920 is an abundant number, since it is smaller than the sum of its proper divisors (1046512097520).

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

428339755920 is a wasteful number, since it uses less digits than its factorization.

428339755920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 428339755920 in words is "four hundred twenty-eight billion, three hundred thirty-nine million, seven hundred fifty-five thousand, nine hundred twenty".