1628666496 has 48 divisors (see below), whose sum is σ = 4686660810. Its totient is φ = 542888448.

The previous prime is 1628666489. The next prime is 1628666531. The reversal of 1628666496 is 6946668261.

It can be written as a sum of positive squares in only one way, i.e., 1428840000 + 199826496 = 37800^2 + 14136^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705735 + ... + 708038.

Almost surely, 2^1628666496 is an apocalyptic number.

1628666496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1628666496 is an abundant number, since it is smaller than the sum of its proper divisors (3057994314).

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

1628666496 is a wasteful number, since it uses less digits than its factorization.

1628666496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413793 (or 1413778 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1628666496 is about 40356.7404035559. The cubic root of 1628666496 is about 1176.5509011274.

The spelling of 1628666496 in words is "one billion, six hundred twenty-eight million, six hundred sixty-six thousand, four hundred ninety-six".