428891904 has 324 divisors, whose sum is σ = 1499457960. Its totient is φ = 117411840.

The previous prime is 428891891. The next prime is 428891909. The reversal of 428891904 is 409198824.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 428891904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428891909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3273919 + ... + 3274049.

Almost surely, 2^428891904 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 428891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749728980).

428891904 is an abundant number, since it is smaller than the sum of its proper divisors (1070566056).

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

428891904 is a wasteful number, since it uses less digits than its factorization.

428891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 428891904 is about 20709.7055507798. The cubic root of 428891904 is about 754.1353222399.

The spelling of 428891904 in words is "four hundred twenty-eight million, eight hundred ninety-one thousand, nine hundred four".