428931425832 has 192 divisors, whose sum is σ = 1359545705280. Its totient is φ = 111761491968.

The previous prime is 428931425773. The next prime is 428931425837. The reversal of 428931425832 is 238524139824.

It is not an unprimeable number, because it can be changed into a prime (428931425837) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1099888 + ... + 1437920.

It is an arithmetic number, because the mean of its divisors is an integer number (7080967215).

Almost surely, 2^428931425832 is an apocalyptic number.

428931425832 is a gapful number since it is divisible by the number (42) 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 428931425832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679772852640).

428931425832 is an abundant number, since it is smaller than the sum of its proper divisors (930614279448).

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

428931425832 is a wasteful number, since it uses less digits than its factorization.

428931425832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338152 (or 338141 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 428931425832 in words is "four hundred twenty-eight billion, nine hundred thirty-one million, four hundred twenty-five thousand, eight hundred thirty-two".