428633358824 has 128 divisors (see below), whose sum is σ = 894269376000. Its totient is φ = 190991001600.

The previous prime is 428633358799. The next prime is 428633358877. The reversal of 428633358824 is 428853336824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 428633358824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414939812 + ... + 414940844.

It is an arithmetic number, because the mean of its divisors is an integer number (6986479500).

Almost surely, 2^428633358824 is an apocalyptic number.

428633358824 is a gapful number since it is divisible by the number (44) 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 428633358824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447134688000).

428633358824 is an abundant number, since it is smaller than the sum of its proper divisors (465636017176).

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

428633358824 is a wasteful number, since it uses less digits than its factorization.

428633358824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 56.

The spelling of 428633358824 in words is "four hundred twenty-eight billion, six hundred thirty-three million, three hundred fifty-eight thousand, eight hundred twenty-four".