628080000 has 160 divisors (see below), whose sum is σ = 2085551160. Its totient is φ = 167424000.

The previous prime is 628079983. The next prime is 628080001. The reversal of 628080000 is 80826.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238692 + ... + 241308.

Almost surely, 2^628080000 is an apocalyptic number.

628080000 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 628080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042775580).

628080000 is an abundant number, since it is smaller than the sum of its proper divisors (1457471160).

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

628080000 is an equidigital number, since it uses as much as digits as its factorization.

628080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 628080000 is about 25061.5242952219. The cubic root of 628080000 is about 856.3901328181.

The spelling of 628080000 in words is "six hundred twenty-eight million, eighty thousand".