428324416 has 63 divisors (see below), whose sum is σ = 925015041. Its totient is φ = 196694784.

The previous prime is 428324389. The next prime is 428324441. The reversal of 428324416 is 614423824.

The square root of 428324416 is 20696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63361600 + 364962816 = 7960^2 + 19104^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2152285 + ... + 2152483.

Almost surely, 2^428324416 is an apocalyptic number.

428324416 is the 20696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428324416

428324416 is an abundant number, since it is smaller than the sum of its proper divisors (496690625).

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

428324416 is an equidigital number, since it uses as much as digits as its factorization.

428324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 214 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The cubic root of 428324416 is about 753.8025642391.

Multiplying 428324416 by its product of digits (36864), we get a square (15789751271424 = 3973632²).

The spelling of 428324416 in words is "four hundred twenty-eight million, three hundred twenty-four thousand, four hundred sixteen".