428529900096 has 168 divisors, whose sum is σ = 1237055732640. Its totient is φ = 141827272704.

The previous prime is 428529900079. The next prime is 428529900119. The reversal of 428529900096 is 690009925824.

It is a happy number.

428529900096 is a `hidden beast` number, since 4 + 28 + 529 + 9 + 0 + 0 + 0 + 96 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145806595 + ... + 145809533.

It is an arithmetic number, because the mean of its divisors is an integer number (7363426980).

Almost surely, 2^428529900096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428529900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618527866320).

428529900096 is an abundant number, since it is smaller than the sum of its proper divisors (808525832544).

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

428529900096 is a wasteful number, since it uses less digits than its factorization.

428529900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 428529900096 in words is "four hundred twenty-eight billion, five hundred twenty-nine million, nine hundred thousand, ninety-six".