628421760 has 256 divisors, whose sum is σ = 2282515200. Its totient is φ = 163307520.

The previous prime is 628421753. The next prime is 628421767. The reversal of 628421760 is 67124826.

628421760 is a `hidden beast` number, since 628 + 4 + 21 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (628421753) and next prime (628421767).

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

It is not an unprimeable number, because it can be changed into a prime (628421767) 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 31 ways as a sum of consecutive naturals, for example, 708037 + ... + 708923.

It is an arithmetic number, because the mean of its divisors is an integer number (8916075).

Almost surely, 2^628421760 is an apocalyptic number.

628421760 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 628421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141257600).

628421760 is an abundant number, since it is smaller than the sum of its proper divisors (1654093440).

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

628421760 is a wasteful number, since it uses less digits than its factorization.

628421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 628421760 is about 25068.3417880003. The cubic root of 628421760 is about 856.5454351267.

The spelling of 628421760 in words is "six hundred twenty-eight million, four hundred twenty-one thousand, seven hundred sixty".