428840118190080 has 1632 divisors, whose sum is σ = 1623098707476480. Its totient is φ = 104342224896000.

The previous prime is 428840118190073. The next prime is 428840118190153. The reversal of 428840118190080 is 80091811048824.

It is a happy number.

428840118190080 is a `hidden beast` number, since 4 + 2 + 88 + 401 + 1 + 81 + 9 + 0 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 428840118189999 and 428840118190026.

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, 470735584825 + ... + 470735585735.

It is an arithmetic number, because the mean of its divisors is an integer number (994545776640).

Almost surely, 2^{428840118190080} is an apocalyptic number.

428840118190080 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 428840118190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811549353738240).

428840118190080 is an abundant number, since it is smaller than the sum of its proper divisors (1194258589286400).

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

428840118190080 is a wasteful number, since it uses less digits than its factorization.

428840118190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 428840118190080 in words is "four hundred twenty-eight trillion, eight hundred forty billion, one hundred eighteen million, one hundred ninety thousand, eighty".