628385893632 has 576 divisors, whose sum is σ = 2254613760000. Its totient is φ = 168528936960.

The previous prime is 628385893631. The next prime is 628385893637. The reversal of 628385893632 is 236398583826.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 628385893632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628385893631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410440707 + ... + 410442237.

It is an arithmetic number, because the mean of its divisors is an integer number (3914260000).

Almost surely, 2^628385893632 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 628385893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127306880000).

628385893632 is an abundant number, since it is smaller than the sum of its proper divisors (1626227866368).

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

628385893632 is a wasteful number, since it uses less digits than its factorization.

628385893632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2059 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 628385893632 in words is "six hundred twenty-eight billion, three hundred eighty-five million, eight hundred ninety-three thousand, six hundred thirty-two".