1628248896 has 42 divisors (see below), whose sum is σ = 4667083122. Its totient is φ = 542749440.

The previous prime is 1628248889. The next prime is 1628248907. The reversal of 1628248896 is 6988428261.

1628248896 is a `hidden beast` number, since 1 + 628 + 2 + 4 + 8 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1357185600 + 271063296 = 36840^2 + 16464^2 .

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1412835 + ... + 1413986.

Almost surely, 2^1628248896 is an apocalyptic number.

1628248896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1628248896 is an abundant number, since it is smaller than the sum of its proper divisors (3038834226).

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

1628248896 is a wasteful number, since it uses less digits than its factorization.

1628248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826839 (or 2826826 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1628248896 is about 40351.5662149563. The cubic root of 1628248896 is about 1176.4503342615.

The spelling of 1628248896 in words is "one billion, six hundred twenty-eight million, two hundred forty-eight thousand, eight hundred ninety-six".