1628432900 has 72 divisors (see below), whose sum is σ = 3679530120. Its totient is φ = 624983040.

The previous prime is 1628432899. The next prime is 1628432917. The reversal of 1628432900 is 92348261.

It can be written as a sum of positive squares in 12 ways, for example, as 148996 + 1628283904 = 386^2 + 40352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267086 + ... + 273114.

It is an arithmetic number, because the mean of its divisors is an integer number (51104585).

Almost surely, 2^1628432900 is an apocalyptic number.

1628432900 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 1628432900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839765060).

1628432900 is an abundant number, since it is smaller than the sum of its proper divisors (2051097220).

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

1628432900 is a wasteful number, since it uses less digits than its factorization.

1628432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1628432900 is about 40353.8461611777. The cubic root of 1628432900 is about 1176.4946484148.

The spelling of 1628432900 in words is "one billion, six hundred twenty-eight million, four hundred thirty-two thousand, nine hundred".