628835616000 has 576 divisors, whose sum is σ = 2327962291200. Its totient is φ = 167169024000.

The previous prime is 628835615983. The next prime is 628835616007. The reversal of 628835616000 is 616538826.

628835616000 is a `hidden beast` number, since 6 + 2 + 8 + 8 + 35 + 6 + 1 + 600 + 0 = 666.

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 (45).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628835616007) 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, 336095065 + ... + 336096935.

It is an arithmetic number, because the mean of its divisors is an integer number (4041601200).

Almost surely, 2^628835616000 is an apocalyptic number.

628835616000 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 628835616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163981145600).

628835616000 is an abundant number, since it is smaller than the sum of its proper divisors (1699126675200).

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

628835616000 is a wasteful number, since it uses less digits than its factorization.

628835616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 628835616000 in words is "six hundred twenty-eight billion, eight hundred thirty-five million, six hundred sixteen thousand".