428510160 has 240 divisors, whose sum is σ = 1641551184. Its totient is φ = 99237888.

The previous prime is 428510153. The next prime is 428510161. The reversal of 428510160 is 61015824.

It can be written as a sum of positive squares in 8 ways, for example, as 11370384 + 417139776 = 3372^2 + 20424^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428510161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157774 + ... + 160466.

Almost surely, 2^428510160 is an apocalyptic number.

428510160 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 428510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820775592).

428510160 is an abundant number, since it is smaller than the sum of its proper divisors (1213041024).

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

428510160 is a wasteful number, since it uses less digits than its factorization.

428510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 428510160 is about 20700.4869507942. The cubic root of 428510160 is about 753.9115113082.

Adding to 428510160 its reverse (61015824), we get a palindrome (489525984).

The spelling of 428510160 in words is "four hundred twenty-eight million, five hundred ten thousand, one hundred sixty".