1628480000 has 200 divisors, whose sum is σ = 4653160512. Its totient is φ = 557568000.

The previous prime is 1628479991. The next prime is 1628480011. The reversal of 1628480000 is 848261.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1628480000² = 5303894220800000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239637 + ... + 2240363.

Almost surely, 2^1628480000 is an apocalyptic number.

1628480000 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 1628480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326580256).

1628480000 is an abundant number, since it is smaller than the sum of its proper divisors (3024680512).

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

1628480000 is an frugal number, since it uses more digits than its factorization.

1628480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1628480000 is about 40354.4297444531. The cubic root of 1628480000 is about 1176.5059910915.

The spelling of 1628480000 in words is "one billion, six hundred twenty-eight million, four hundred eighty thousand".