428200416 has 216 divisors, whose sum is σ = 1491988680. Its totient is φ = 115831296.

The previous prime is 428200393. The next prime is 428200441. The reversal of 428200416 is 614002824.

428200416 is a `hidden beast` number, since 42 + 8 + 200 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428200416.

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 35 ways as a sum of consecutive naturals, for example, 267330 + ... + 268926.

It is an arithmetic number, because the mean of its divisors is an integer number (6907355).

Almost surely, 2^428200416 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 428200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745994340).

428200416 is an abundant number, since it is smaller than the sum of its proper divisors (1063788264).

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

428200416 is a wasteful number, since it uses less digits than its factorization.

428200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 428200416 is about 20693.0040351806. The cubic root of 428200416 is about 753.7298152231.

The spelling of 428200416 in words is "four hundred twenty-eight million, two hundred thousand, four hundred sixteen".