428997163680 has 240 divisors, whose sum is σ = 1514951782344. Its totient is φ = 114327521280.

The previous prime is 428997163667. The next prime is 428997163711. The reversal of 428997163680 is 86361799824.

428997163680 is a `hidden beast` number, since 428 + 9 + 9 + 71 + 63 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48747340944 + 380249822736 = 220788^2 + 616644^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×428997163680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22553854 + ... + 22572866.

Almost surely, 2^428997163680 is an apocalyptic number.

428997163680 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 428997163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757475891172).

428997163680 is an abundant number, since it is smaller than the sum of its proper divisors (1085954618664).

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

428997163680 is a wasteful number, since it uses less digits than its factorization.

428997163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20781 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 428997163680 in words is "four hundred twenty-eight billion, nine hundred ninety-seven million, one hundred sixty-three thousand, six hundred eighty".