1628645000 has 40 divisors (see below), whose sum is σ = 3815926950. Its totient is φ = 651456000.

The previous prime is 1628644993. The next prime is 1628645041. The reversal of 1628645000 is 5468261.

It can be written as a sum of positive squares in 5 ways, for example, as 95609284 + 1533035716 = 9778^2 + 39154^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 157865 + ... + 167864.

Almost surely, 2^1628645000 is an apocalyptic number.

1628645000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628645000 is an abundant number, since it is smaller than the sum of its proper divisors (2187281950).

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

1628645000 is an equidigital number, since it uses as much as digits as its factorization.

1628645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325755 (or 325736 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1628645000 is about 40356.4740778973. The cubic root of 1628645000 is about 1176.5457248581.

The spelling of 1628645000 in words is "one billion, six hundred twenty-eight million, six hundred forty-five thousand".