428764410 has 96 divisors (see below), whose sum is σ = 1157524992. Its totient is φ = 109998720.

The previous prime is 428764397. The next prime is 428764417. The reversal of 428764410 is 14467824.

428764410 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 644 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (428764417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632992 + ... + 633668.

It is an arithmetic number, because the mean of its divisors is an integer number (12057552).

Almost surely, 2^428764410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428764410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578762496).

428764410 is an abundant number, since it is smaller than the sum of its proper divisors (728760582).

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

428764410 is a wasteful number, since it uses less digits than its factorization.

428764410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 428764410 is about 20706.6272000053. The cubic root of 428764410 is about 754.0605891455.

The spelling of 428764410 in words is "four hundred twenty-eight million, seven hundred sixty-four thousand, four hundred ten".