428217865920 has 784 divisors, whose sum is σ = 1655271203040. Its totient is φ = 104843870208.

The previous prime is 428217865891. The next prime is 428217865921. The reversal of 428217865920 is 29568712824.

428217865920 is a `hidden beast` number, since 4 + 28 + 21 + 7 + 8 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (428217865921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1021999471 + ... + 1021999889.

It is an arithmetic number, because the mean of its divisors is an integer number (2111315310).

Almost surely, 2^428217865920 is an apocalyptic number.

428217865920 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 428217865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827635601520).

428217865920 is an abundant number, since it is smaller than the sum of its proper divisors (1227053337120).

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

428217865920 is a wasteful number, since it uses less digits than its factorization.

428217865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 428217865920 in words is "four hundred twenty-eight billion, two hundred seventeen million, eight hundred sixty-five thousand, nine hundred twenty".