428964418080 has 576 divisors, whose sum is σ = 1661101223040. Its totient is φ = 103309240320.

The previous prime is 428964418031. The next prime is 428964418121. The reversal of 428964418080 is 80814469824.

It is a happy number.

428964418080 is a `hidden beast` number, since 42 + 8 + 9 + 6 + 441 + 80 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82064427 + ... + 82069653.

It is an arithmetic number, because the mean of its divisors is an integer number (2883856290).

Almost surely, 2^428964418080 is an apocalyptic number.

428964418080 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 428964418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830550611520).

428964418080 is an abundant number, since it is smaller than the sum of its proper divisors (1232136804960).

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

428964418080 is a wasteful number, since it uses less digits than its factorization.

428964418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 428964418080 in words is "four hundred twenty-eight billion, nine hundred sixty-four million, four hundred eighteen thousand, eighty".