628370348654592 has 960 divisors, whose sum is σ = 1977478153297920. Its totient is φ = 196794659635200.

The previous prime is 628370348654449. The next prime is 628370348654603. The reversal of 628370348654592 is 295456843073826.

628370348654592 is a `hidden beast` number, since 6 + 2 + 8 + 3 + 7 + 0 + 3 + 486 + 54 + 5 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 628370348654592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152850970617 + ... + 152850974727.

It is an arithmetic number, because the mean of its divisors is an integer number (2059873076352).

Almost surely, 2^{628370348654592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628370348654592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988739076648960).

628370348654592 is an abundant number, since it is smaller than the sum of its proper divisors (1349107804643328).

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

628370348654592 is a wasteful number, since it uses less digits than its factorization.

628370348654592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 628370348654592 in words is "six hundred twenty-eight trillion, three hundred seventy billion, three hundred forty-eight million, six hundred fifty-four thousand, five hundred ninety-two".