428256192 has 224 divisors, whose sum is σ = 1412841472. Its totient is φ = 111476736.

The previous prime is 428256131. The next prime is 428256203. The reversal of 428256192 is 291652824.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 428256192.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2218848 + ... + 2219040.

It is an arithmetic number, because the mean of its divisors is an integer number (6307328).

Almost surely, 2^428256192 is an apocalyptic number.

428256192 is a gapful number since it is divisible by the number (42) 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 428256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706420736).

428256192 is an abundant number, since it is smaller than the sum of its proper divisors (984585280).

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

428256192 is a wasteful number, since it uses less digits than its factorization.

428256192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 428256192 is about 20694.3516931553. The cubic root of 428256192 is about 753.7625399375.

The spelling of 428256192 in words is "four hundred twenty-eight million, two hundred fifty-six thousand, one hundred ninety-two".