428831964 has 144 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 123150720.

The previous prime is 428831947. The next prime is 428831981. The reversal of 428831964 is 469138824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428831947) and next prime (428831981).

It is a congruent number.

It is an unprimeable number.

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, 1794157 + ... + 1794395.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^428831964 is an apocalyptic number.

428831964 is a gapful number since it is divisible by the number (44) 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 428831964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

428831964 is an abundant number, since it is smaller than the sum of its proper divisors (816572196).

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

428831964 is a wasteful number, since it uses less digits than its factorization.

428831964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 428831964 is about 20708.2583526476. The cubic root of 428831964 is about 754.1001890849.

The spelling of 428831964 in words is "four hundred twenty-eight million, eight hundred thirty-one thousand, nine hundred sixty-four".