428867518464 has 1224 divisors, whose sum is σ = 1678295998080. Its totient is φ = 104044953600.

The previous prime is 428867518459. The next prime is 428867518489. The reversal of 428867518464 is 464815768824.

It is a happy number.

428867518464 is a `hidden beast` number, since 4 + 28 + 86 + 75 + 1 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6040387549 + ... + 6040387619.

Almost surely, 2^428867518464 is an apocalyptic number.

428867518464 is a gapful number since it is divisible by the number (44) 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 428867518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839147999040).

428867518464 is an abundant number, since it is smaller than the sum of its proper divisors (1249428479616).

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

428867518464 is a wasteful number, since it uses less digits than its factorization.

428867518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 428867518464 in words is "four hundred twenty-eight billion, eight hundred sixty-seven million, five hundred eighteen thousand, four hundred sixty-four".