428553216 has 396 divisors, whose sum is σ = 1571432772. Its totient is φ = 111476736.

The previous prime is 428553211. The next prime is 428553217. The reversal of 428553216 is 612355824.

428553216 is a `hidden beast` number, since 42 + 85 + 532 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 282240000 = 12096^2 + 16800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428553211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870556 + ... + 5870628.

Almost surely, 2^428553216 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 428553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785716386).

428553216 is an abundant number, since it is smaller than the sum of its proper divisors (1142879556).

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

428553216 is a wasteful number, since it uses less digits than its factorization.

428553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 428553216 is about 20701.5269002071. The cubic root of 428553216 is about 753.9367610610.

The spelling of 428553216 in words is "four hundred twenty-eight million, five hundred fifty-three thousand, two hundred sixteen".