428540017739328 has 504 divisors, whose sum is σ = 1407845794249440. Its totient is φ = 127731517056000.

The previous prime is 428540017739321. The next prime is 428540017739333. The reversal of 428540017739328 is 823937710045824.

It is a happy number.

428540017739328 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 400 + 177 + 39 + 3 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (428540017739321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 777741043 + ... + 778291853.

It is an arithmetic number, because the mean of its divisors is an integer number (2793344829860).

Almost surely, 2^{428540017739328} is an apocalyptic number.

428540017739328 is a gapful number since it is divisible by the number (48) 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 428540017739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703922897124720).

428540017739328 is an abundant number, since it is smaller than the sum of its proper divisors (979305776510112).

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

428540017739328 is a wasteful number, since it uses less digits than its factorization.

428540017739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550976 (or 550888 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 428540017739328 in words is "four hundred twenty-eight trillion, five hundred forty billion, seventeen million, seven hundred thirty-nine thousand, three hundred twenty-eight".