628842240 has 648 divisors, whose sum is σ = 2625845040. Its totient is φ = 138018816.

The previous prime is 628842239. The next prime is 628842271. The reversal of 628842240 is 42248826.

It is a happy number.

628842240 is a `hidden beast` number, since 628 + 8 + 4 + 2 + 24 + 0 = 666.

628842240 is digitally balanced in base 2, 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 = 628842195 and 628842204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33096951 + ... + 33096969.

It is an arithmetic number, because the mean of its divisors is an integer number (4052230).

Almost surely, 2^628842240 is an apocalyptic number.

628842240 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 628842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312922520).

628842240 is an abundant number, since it is smaller than the sum of its proper divisors (1997002800).

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

628842240 is a wasteful number, since it uses less digits than its factorization.

628842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 628842240 is about 25076.7270591678. The cubic root of 628842240 is about 856.7364320808.

The spelling of 628842240 in words is "six hundred twenty-eight million, eight hundred forty-two thousand, two hundred forty".