428360520 has 128 divisors (see below), whose sum is σ = 1483223040. Its totient is φ = 96940800.

The previous prime is 428360519. The next prime is 428360521. The reversal of 428360520 is 25063824.

It is an interprime number because it is at equal distance from previous prime (428360519) and next prime (428360521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (428360521) 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, 84045 + ... + 88995.

It is an arithmetic number, because the mean of its divisors is an integer number (11587680).

Almost surely, 2^428360520 is an apocalyptic number.

428360520 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 428360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741611520).

428360520 is an abundant number, since it is smaller than the sum of its proper divisors (1054862520).

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

428360520 is a wasteful number, since it uses less digits than its factorization.

428360520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 428360520 is about 20696.8722274647. The cubic root of 428360520 is about 753.8237432973.

The spelling of 428360520 in words is "four hundred twenty-eight million, three hundred sixty thousand, five hundred twenty".