628394760 has 320 divisors, whose sum is σ = 2446329600. Its totient is φ = 141709824.

The previous prime is 628394759. The next prime is 628394773. The reversal of 628394760 is 67493826.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2335906 + ... + 2336174.

It is an arithmetic number, because the mean of its divisors is an integer number (7644780).

Almost surely, 2^628394760 is an apocalyptic number.

628394760 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 628394760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223164800).

628394760 is an abundant number, since it is smaller than the sum of its proper divisors (1817934840).

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

628394760 is a wasteful number, since it uses less digits than its factorization.

628394760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 628394760 is about 25067.8032543739. The cubic root of 628394760 is about 856.5331678569.

The spelling of 628394760 in words is "six hundred twenty-eight million, three hundred ninety-four thousand, seven hundred sixty".