428896851120 has 960 divisors, whose sum is σ = 1619690618880. Its totient is φ = 104248166400.

The previous prime is 428896851077. The next prime is 428896851217. The reversal of 428896851120 is 21158698824.

428896851120 is a `hidden beast` number, since 4 + 28 + 89 + 6 + 8 + 511 + 20 = 666.

It is a super-3 number, since 3×428896851120³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3377140497 + ... + 3377140623.

It is an arithmetic number, because the mean of its divisors is an integer number (1687177728).

Almost surely, 2^428896851120 is an apocalyptic number.

428896851120 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 428896851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809845309440).

428896851120 is an abundant number, since it is smaller than the sum of its proper divisors (1190793767760).

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

428896851120 is a wasteful number, since it uses less digits than its factorization.

428896851120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 428896851120 in words is "four hundred twenty-eight billion, eight hundred ninety-six million, eight hundred fifty-one thousand, one hundred twenty".