628495200 has 432 divisors, whose sum is σ = 2380066416. Its totient is φ = 161740800.

The previous prime is 628495157. The next prime is 628495211. The reversal of 628495200 is 2594826.

It is a happy number.

628495200 is a `hidden beast` number, since 628 + 4 + 9 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 71 ways as a sum of consecutive naturals, for example, 10303170 + ... + 10303230.

It is an arithmetic number, because the mean of its divisors is an integer number (5509413).

Almost surely, 2^628495200 is an apocalyptic number.

628495200 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 628495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190033208).

628495200 is an abundant number, since it is smaller than the sum of its proper divisors (1751571216).

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

628495200 is a wasteful number, since it uses less digits than its factorization.

628495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 628495200 is about 25069.8065409368. The cubic root of 628495200 is about 856.5788003232.

The spelling of 628495200 in words is "six hundred twenty-eight million, four hundred ninety-five thousand, two hundred".