428510353582080 has 4608 divisors, whose sum is σ = 2027844041932800. Its totient is φ = 80989441228800.

The previous prime is 428510353582033. The next prime is 428510353582097. The reversal of 428510353582080 is 80285353015824.

It is a happy number.

428510353582080 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 1 + 0 + 3 + 53 + 582 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×428510353582080² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 656217999034 + ... + 656217999686.

It is an arithmetic number, because the mean of its divisors is an integer number (440070321600).

Almost surely, 2^{428510353582080} is an apocalyptic number.

428510353582080 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 428510353582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013922020966400).

428510353582080 is an abundant number, since it is smaller than the sum of its proper divisors (1599333688350720).

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

428510353582080 is a wasteful number, since it uses less digits than its factorization.

428510353582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 428510353582080 in words is "four hundred twenty-eight trillion, five hundred ten billion, three hundred fifty-three million, five hundred eighty-two thousand, eighty".