428464111680 has 336 divisors, whose sum is σ = 1692333115200. Its totient is φ = 98403102720.

The previous prime is 428464111657. The next prime is 428464111717. The reversal of 428464111680 is 86111464824.

428464111680 is a `hidden beast` number, since 4 + 28 + 464 + 1 + 1 + 168 + 0 = 666.

428464111680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246006 + ... + 957834.

It is an arithmetic number, because the mean of its divisors is an integer number (5036705700).

Almost surely, 2^428464111680 is an apocalyptic number.

428464111680 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 428464111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846166557600).

428464111680 is an abundant number, since it is smaller than the sum of its proper divisors (1263869003520).

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

428464111680 is a wasteful number, since it uses less digits than its factorization.

428464111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711882 (or 711869 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 428464111680 in words is "four hundred twenty-eight billion, four hundred sixty-four million, one hundred eleven thousand, six hundred eighty".