628200000 has 252 divisors, whose sum is σ = 2257082100. Its totient is φ = 167040000.

The previous prime is 628199993. The next prime is 628200007. The reversal of 628200000 is 2826.

It is an interprime number because it is at equal distance from previous prime (628199993) and next prime (628200007).

It can be written as a sum of positive squares in 6 ways, for example, as 455224896 + 172975104 = 21336^2 + 13152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799826 + ... + 1800174.

It is an arithmetic number, because the mean of its divisors is an integer number (8956675).

Almost surely, 2^628200000 is an apocalyptic number.

628200000 is a gapful number since it is divisible by the number (60) 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 628200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128541050).

628200000 is an abundant number, since it is smaller than the sum of its proper divisors (1628882100).

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

628200000 is an equidigital number, since it uses as much as digits as its factorization.

628200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 628200000 is about 25063.9182890465. The cubic root of 628200000 is about 856.4446695394. Note that the first 3 decimals are identical.

Adding to 628200000 its reverse (2826), we get a palindrome (628202826).

The spelling of 628200000 in words is "six hundred twenty-eight million, two hundred thousand".