428312643120 has 480 divisors, whose sum is σ = 1562025523968. Its totient is φ = 104765325312.

The previous prime is 428312643107. The next prime is 428312643131. The reversal of 428312643120 is 21346213824.

428312643120 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 1 + 2 + 643 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 147845512 + ... + 147848408.

Almost surely, 2^428312643120 is an apocalyptic number.

428312643120 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 428312643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781012761984).

428312643120 is an abundant number, since it is smaller than the sum of its proper divisors (1133712880848).

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

428312643120 is a wasteful number, since it uses less digits than its factorization.

428312643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 428312643120 its reverse (21346213824), we get a palindrome (449658856944).

The spelling of 428312643120 in words is "four hundred twenty-eight billion, three hundred twelve million, six hundred forty-three thousand, one hundred twenty".