1628804736 has 96 divisors (see below), whose sum is σ = 5047644420. Its totient is φ = 501166080.

The previous prime is 1628804729. The next prime is 1628804743. The reversal of 1628804736 is 6374088261.

It is an interprime number because it is at equal distance from previous prime (1628804729) and next prime (1628804743).

It can be written as a sum of positive squares in 2 ways, for example, as 1627638336 + 1166400 = 40344^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1628804691 and 1628804700.

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 11 ways as a sum of consecutive naturals, for example, 39405 + ... + 69356.

Almost surely, 2^1628804736 is an apocalyptic number.

1628804736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1628804736 is an abundant number, since it is smaller than the sum of its proper divisors (3418839684).

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

1628804736 is a wasteful number, since it uses less digits than its factorization.

1628804736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108794 (or 108779 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1628804736 is about 40358.4530922581. The cubic root of 1628804736 is about 1176.5841884406.

The spelling of 1628804736 in words is "one billion, six hundred twenty-eight million, eight hundred four thousand, seven hundred thirty-six".