428728988160 has 960 divisors, whose sum is σ = 1686597479424. Its totient is φ = 99709747200.

The previous prime is 428728988159. The next prime is 428728988173. The reversal of 428728988160 is 61889827824.

428728988160 is a `hidden beast` number, since 42 + 87 + 289 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 1547757942 + ... + 1547758218.

Almost surely, 2^428728988160 is an apocalyptic number.

428728988160 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 428728988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843298739712).

428728988160 is an abundant number, since it is smaller than the sum of its proper divisors (1257868491264).

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

428728988160 is a wasteful number, since it uses less digits than its factorization.

428728988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 428728988160 in words is "four hundred twenty-eight billion, seven hundred twenty-eight million, nine hundred eighty-eight thousand, one hundred sixty".