428931664 has 40 divisors (see below), whose sum is σ = 956188800. Its totient is φ = 182587008.

The previous prime is 428931653. The next prime is 428931667. The reversal of 428931664 is 466139824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 428931664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428931667) 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 7 ways as a sum of consecutive naturals, for example, 3837 + ... + 29539.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^428931664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428931664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

428931664 is an abundant number, since it is smaller than the sum of its proper divisors (527257136).

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

428931664 is a wasteful number, since it uses less digits than its factorization.

428931664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25867 (or 25861 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 428931664 is about 20710.6654649241. The cubic root of 428931664 is about 754.1586253096.

It can be divided in two parts, 4289 and 31664, that added together give a palindrome (35953).

The spelling of 428931664 in words is "four hundred twenty-eight million, nine hundred thirty-one thousand, six hundred sixty-four".