428987889408 has 144 divisors (see below), whose sum is σ = 1231782473376. Its totient is φ = 131757588480.

The previous prime is 428987889329. The next prime is 428987889409. The reversal of 428987889408 is 804988789824.

It is a self number, because there is not a number n which added to its sum of digits gives 428987889408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428987889409) 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 15 ways as a sum of consecutive naturals, for example, 5522518 + ... + 5599658.

It is an arithmetic number, because the mean of its divisors is an integer number (8554044954).

Almost surely, 2^428987889408 is an apocalyptic number.

428987889408 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 428987889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615891236688).

428987889408 is an abundant number, since it is smaller than the sum of its proper divisors (802794583968).

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

428987889408 is a wasteful number, since it uses less digits than its factorization.

428987889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77730 (or 77716 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 75.

The spelling of 428987889408 in words is "four hundred twenty-eight billion, nine hundred eighty-seven million, eight hundred eighty-nine thousand, four hundred eight".