428838389640 has 512 divisors, whose sum is σ = 1557411840000. Its totient is φ = 104561694720.

The previous prime is 428838389611. The next prime is 428838389689. The reversal of 428838389640 is 46983838824.

428838389640 is a `hidden beast` number, since 42 + 88 + 383 + 89 + 64 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 332690116 + ... + 332691404.

It is an arithmetic number, because the mean of its divisors is an integer number (3041820000).

Almost surely, 2^428838389640 is an apocalyptic number.

428838389640 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 428838389640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778705920000).

428838389640 is an abundant number, since it is smaller than the sum of its proper divisors (1128573450360).

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

428838389640 is a wasteful number, since it uses less digits than its factorization.

428838389640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 428838389640 in words is "four hundred twenty-eight billion, eight hundred thirty-eight million, three hundred eighty-nine thousand, six hundred forty".