1628800 has 48 divisors (see below), whose sum is σ = 4031550. Its totient is φ = 650240.

The previous prime is 1628779. The next prime is 1628801. The reversal of 1628800 is 88261.

It can be written as a sum of positive squares in 3 ways, for example, as 1420864 + 207936 = 1192^2 + 456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1628801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2946 + ... + 3454.

2^1628800 is an apocalyptic number.

1628800 is a gapful number since it is divisible by the number (10) 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 1628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015775).

1628800 is an abundant number, since it is smaller than the sum of its proper divisors (2402750).

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

1628800 is an equidigital number, since it uses as much as digits as its factorization.

1628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1628800 is about 1276.2444906835. The cubic root of 1628800 is about 117.6583048073.

The spelling of 1628800 in words is "one million, six hundred twenty-eight thousand, eight hundred".