428035499520 has 160 divisors (see below), whose sum is σ = 1385699166720. Its totient is φ = 112697794560.

The previous prime is 428035499509. The next prime is 428035499527. The reversal of 428035499520 is 25994530824.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428035499527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253975 + ... + 959465.

It is an arithmetic number, because the mean of its divisors is an integer number (8660619792).

Almost surely, 2^428035499520 is an apocalyptic number.

428035499520 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 428035499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692849583360).

428035499520 is an abundant number, since it is smaller than the sum of its proper divisors (957663667200).

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

428035499520 is an equidigital number, since it uses as much as digits as its factorization.

428035499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705596 (or 705580 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 428035499520 in words is "four hundred twenty-eight billion, thirty-five million, four hundred ninety-nine thousand, five hundred twenty".