428820120 has 192 divisors, whose sum is σ = 1489363200. Its totient is φ = 106686720.

The previous prime is 428820113. The next prime is 428820127. The reversal of 428820120 is 21028824.

It is an interprime number because it is at equal distance from previous prime (428820113) and next prime (428820127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428820127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485199 + ... + 486081.

It is an arithmetic number, because the mean of its divisors is an integer number (7757100).

Almost surely, 2^428820120 is an apocalyptic number.

428820120 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 428820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744681600).

428820120 is an abundant number, since it is smaller than the sum of its proper divisors (1060543080).

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

428820120 is a wasteful number, since it uses less digits than its factorization.

428820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 428820120 is about 20707.9723778066. The cubic root of 428820120 is about 754.0932464705.

Adding to 428820120 its reverse (21028824), we get a palindrome (449848944).

The spelling of 428820120 in words is "four hundred twenty-eight million, eight hundred twenty thousand, one hundred twenty".