428113720 has 128 divisors (see below), whose sum is σ = 1099837440. Its totient is φ = 149022720.

The previous prime is 428113711. The next prime is 428113729. The reversal of 428113720 is 27311824.

It is an interprime number because it is at equal distance from previous prime (428113711) and next prime (428113729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428113729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484399 + ... + 485281.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^428113720 is an apocalyptic number.

428113720 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 428113720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

428113720 is an abundant number, since it is smaller than the sum of its proper divisors (671723720).

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

428113720 is a wasteful number, since it uses less digits than its factorization.

428113720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 428113720 is about 20690.9091148746. The cubic root of 428113720 is about 753.6789435844.

The spelling of 428113720 in words is "four hundred twenty-eight million, one hundred thirteen thousand, seven hundred twenty".