428435345520 has 640 divisors, whose sum is σ = 1853381376000. Its totient is φ = 90393117696.

The previous prime is 428435345501. The next prime is 428435345521. The reversal of 428435345520 is 25543534824.

428435345520 is a `hidden beast` number, since 4 + 2 + 8 + 43 + 53 + 4 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428435345521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9609199 + ... + 9653681.

It is an arithmetic number, because the mean of its divisors is an integer number (2895908400).

Almost surely, 2^428435345520 is an apocalyptic number.

428435345520 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 428435345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926690688000).

428435345520 is an abundant number, since it is smaller than the sum of its proper divisors (1424946030480).

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

428435345520 is a wasteful number, since it uses less digits than its factorization.

428435345520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44539 (or 44513 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 428435345520 in words is "four hundred twenty-eight billion, four hundred thirty-five million, three hundred forty-five thousand, five hundred twenty".