628462224 has 120 divisors (see below), whose sum is σ = 1914195192. Its totient is φ = 191324160.

The previous prime is 628462223. The next prime is 628462271. The reversal of 628462224 is 422264826.

628462224 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 622 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 628404624 = 240^2 + 25068^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (628462223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 179854 + ... + 183314.

Almost surely, 2^628462224 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 628462224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957097596).

628462224 is an abundant number, since it is smaller than the sum of its proper divisors (1285732968).

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

628462224 is a wasteful number, since it uses less digits than its factorization.

628462224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3576 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 628462224 is about 25069.1488487344. The cubic root of 628462224 is about 856.5638190173.

The spelling of 628462224 in words is "six hundred twenty-eight million, four hundred sixty-two thousand, two hundred twenty-four".