428543620920 has 256 divisors, whose sum is σ = 1435940352000. Its totient is φ = 113683004928.

The previous prime is 428543620919. The next prime is 428543620951. The reversal of 428543620920 is 29026345824.

428543620920 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 436 + 209 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235075129 + ... + 235076951.

It is an arithmetic number, because the mean of its divisors is an integer number (5609142000).

Almost surely, 2^428543620920 is an apocalyptic number.

428543620920 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 428543620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717970176000).

428543620920 is an abundant number, since it is smaller than the sum of its proper divisors (1007396731080).

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

428543620920 is a wasteful number, since it uses less digits than its factorization.

428543620920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 428543620920 in words is "four hundred twenty-eight billion, five hundred forty-three million, six hundred twenty thousand, nine hundred twenty".