1828641216 has 56 divisors (see below), whose sum is σ = 4846740624. Its totient is φ = 608481280.

The previous prime is 1828641211. The next prime is 1828641223. The reversal of 1828641216 is 6121468281.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828641211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105826 + ... + 121886.

Almost surely, 2^1828641216 is an apocalyptic number.

1828641216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1828641216 is an abundant number, since it is smaller than the sum of its proper divisors (3018099408).

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

1828641216 is a wasteful number, since it uses less digits than its factorization.

1828641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16669 (or 16659 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 1828641216 is about 42762.6147002262. The cubic root of 1828641216 is about 1222.8583913325.

The spelling of 1828641216 in words is "one billion, eight hundred twenty-eight million, six hundred forty-one thousand, two hundred sixteen".