628019112240 has 1440 divisors, whose sum is σ = 2619490466880. Its totient is φ = 136996945920.

The previous prime is 628019112233. The next prime is 628019112293. The reversal of 628019112240 is 42211910826.

628019112240 is a `hidden beast` number, since 628 + 0 + 1 + 9 + 1 + 1 + 2 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 628019112195 and 628019112204.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 16973489502 + ... + 16973489538.

It is an arithmetic number, because the mean of its divisors is an integer number (1819090602).

Almost surely, 2^628019112240 is an apocalyptic number.

628019112240 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 628019112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309745233440).

628019112240 is an abundant number, since it is smaller than the sum of its proper divisors (1991471354640).

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

628019112240 is a wasteful number, since it uses less digits than its factorization.

628019112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 628019112240 in words is "six hundred twenty-eight billion, nineteen million, one hundred twelve thousand, two hundred forty".