628456320 has 256 divisors, whose sum is σ = 2258280000. Its totient is φ = 167215104.

The previous prime is 628456253. The next prime is 628456327. The reversal of 628456320 is 23654826.

628456320 is a `hidden beast` number, since 6 + 284 + 56 + 320 = 666.

628456320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×628456320² = 789914692295884800, which contains 22 as substring.

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 (628456327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399456 + ... + 1399904.

Almost surely, 2^628456320 is an apocalyptic number.

628456320 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 628456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129140000).

628456320 is an abundant number, since it is smaller than the sum of its proper divisors (1629823680).

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

628456320 is an frugal number, since it uses more digits than its factorization.

628456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 628456320 is about 25069.0310941608. The cubic root of 628456320 is about 856.5611367195.

The spelling of 628456320 in words is "six hundred twenty-eight million, four hundred fifty-six thousand, three hundred twenty".