628746240 has 192 divisors, whose sum is σ = 2041865280. Its totient is φ = 165150720.

The previous prime is 628746229. The next prime is 628746253. The reversal of 628746240 is 42647826.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979735 + ... + 2979945.

It is an arithmetic number, because the mean of its divisors is an integer number (10634715).

Almost surely, 2^628746240 is an apocalyptic number.

628746240 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 628746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020932640).

628746240 is an abundant number, since it is smaller than the sum of its proper divisors (1413119040).

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

628746240 is a wasteful number, since it uses less digits than its factorization.

628746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 628746240 is about 25074.8128607174. The cubic root of 628746240 is about 856.6928329723.

The spelling of 628746240 in words is "six hundred twenty-eight million, seven hundred forty-six thousand, two hundred forty".