428219301888 has 760 divisors, whose sum is σ = 1518469369472. Its totient is φ = 117719433216.

The previous prime is 428219301869. The next prime is 428219301911. The reversal of 428219301888 is 888103912824.

428219301888 is a `hidden beast` number, since 42 + 8 + 219 + 301 + 8 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6391332831 + ... + 6391332897.

Almost surely, 2^428219301888 is an apocalyptic number.

428219301888 is a gapful number since it is divisible by the number (48) 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 428219301888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759234684736).

428219301888 is an abundant number, since it is smaller than the sum of its proper divisors (1090250067584).

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

428219301888 is an frugal number, since it uses more digits than its factorization.

428219301888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 428219301888 in words is "four hundred twenty-eight billion, two hundred nineteen million, three hundred one thousand, eight hundred eighty-eight".