1628430720 has 384 divisors, whose sum is σ = 6362841600. Its totient is φ = 352235520.

The previous prime is 1628430689. The next prime is 1628430803. The reversal of 1628430720 is 270348261.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787065 + ... + 1787975.

It is an arithmetic number, because the mean of its divisors is an integer number (16569900).

Almost surely, 2^1628430720 is an apocalyptic number.

1628430720 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 1628430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181420800).

1628430720 is an abundant number, since it is smaller than the sum of its proper divisors (4734410880).

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

1628430720 is a wasteful number, since it uses less digits than its factorization.

1628430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1628430720 is about 40353.8191501127. The cubic root of 1628430720 is about 1176.4941234194.

Adding to 1628430720 its reverse (270348261), we get a palindrome (1898778981).

The spelling of 1628430720 in words is "one billion, six hundred twenty-eight million, four hundred thirty thousand, seven hundred twenty".