1628968800 has 288 divisors, whose sum is σ = 5643388800. Its totient is φ = 406978560.

The previous prime is 1628968787. The next prime is 1628968807. The reversal of 1628968800 is 88698261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1628968800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628968807) 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 47 ways as a sum of consecutive naturals, for example, 6338272 + ... + 6338528.

It is an arithmetic number, because the mean of its divisors is an integer number (19595100).

Almost surely, 2^1628968800 is an apocalyptic number.

1628968800 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 1628968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821694400).

1628968800 is an abundant number, since it is smaller than the sum of its proper divisors (4014420000).

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

1628968800 is a wasteful number, since it uses less digits than its factorization.

1628968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1628968800 is about 40360.4856264144. The cubic root of 1628968800 is about 1176.6236915648.

The spelling of 1628968800 in words is "one billion, six hundred twenty-eight million, nine hundred sixty-eight thousand, eight hundred".