1628720800 has 108 divisors (see below), whose sum is σ = 4625387550. Its totient is φ = 558405120.

The previous prime is 1628720791. The next prime is 1628720803. The reversal of 1628720800 is 80278261.

It can be written as a sum of positive squares in 3 ways, for example, as 736145424 + 892575376 = 27132^2 + 29876^2 .

It is not an unprimeable number, because it can be changed into a prime (1628720803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18426 + ... + 59974.

Almost surely, 2^1628720800 is an apocalyptic number.

1628720800 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 1628720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312693775).

1628720800 is an abundant number, since it is smaller than the sum of its proper divisors (2996666750).

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

1628720800 is a wasteful number, since it uses less digits than its factorization.

1628720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41583 (or 41563 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 1628720800 is about 40357.4131975775. The cubic root of 1628720800 is about 1176.5639774100.

The spelling of 1628720800 in words is "one billion, six hundred twenty-eight million, seven hundred twenty thousand, eight hundred".