1628764800 has 384 divisors, whose sum is σ = 5977950720. Its totient is φ = 387072000.

The previous prime is 1628764777. The next prime is 1628764801. The reversal of 1628764800 is 84678261.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1628764801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3868590 + ... + 3869010.

It is an arithmetic number, because the mean of its divisors is an integer number (15567580).

Almost surely, 2^1628764800 is an apocalyptic number.

1628764800 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 1628764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988975360).

1628764800 is an abundant number, since it is smaller than the sum of its proper divisors (4349185920).

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

1628764800 is a wasteful number, since it uses less digits than its factorization.

1628764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1628764800 is about 40357.9583229875. The cubic root of 1628764800 is about 1176.5745722991.

The spelling of 1628764800 in words is "one billion, six hundred twenty-eight million, seven hundred sixty-four thousand, eight hundred".