428995676160 has 288 divisors, whose sum is σ = 1551474025920. Its totient is φ = 109424443392.

The previous prime is 428995676159. The next prime is 428995676167. The reversal of 428995676160 is 61676599824.

428995676160 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 9 + 5 + 6 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (428995676167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2018487 + ... + 2220873.

It is an arithmetic number, because the mean of its divisors is an integer number (5387062590).

Almost surely, 2^428995676160 is an apocalyptic number.

428995676160 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 428995676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775737012960).

428995676160 is an abundant number, since it is smaller than the sum of its proper divisors (1122478349760).

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

428995676160 is a wasteful number, since it uses less digits than its factorization.

428995676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202443 (or 202420 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 428995676160 in words is "four hundred twenty-eight billion, nine hundred ninety-five million, six hundred seventy-six thousand, one hundred sixty".