628718040 has 48 divisors (see below), whose sum is σ = 2043334800. Its totient is φ = 167658048.

The previous prime is 628718029. The next prime is 628718047. The reversal of 628718040 is 40817826.

628718040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 628717986 and 628718004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628718047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872860 + ... + 873579.

It is an arithmetic number, because the mean of its divisors is an integer number (42569475).

Almost surely, 2^628718040 is an apocalyptic number.

628718040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628718040 is an abundant number, since it is smaller than the sum of its proper divisors (1414616760).

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

628718040 is a wasteful number, since it uses less digits than its factorization.

628718040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746456 (or 1746449 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 628718040 is about 25074.2505371546. The cubic root of 628718040 is about 856.6800248909.

The spelling of 628718040 in words is "six hundred twenty-eight million, seven hundred eighteen thousand, forty".