1828782648 has 96 divisors (see below), whose sum is σ = 6175128960. Its totient is φ = 475007040.

The previous prime is 1828782619. The next prime is 1828782673. The reversal of 1828782648 is 8462878281.

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

It is a junction number, because it is equal to n+sod(n) for n = 1828782594 and 1828782603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159390 + ... + 170477.

It is an arithmetic number, because the mean of its divisors is an integer number (64324260).

Almost surely, 2^1828782648 is an apocalyptic number.

1828782648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1828782648 is an abundant number, since it is smaller than the sum of its proper divisors (4346346312).

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

1828782648 is a wasteful number, since it uses less digits than its factorization.

1828782648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329897 (or 329890 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 1828782648 is about 42764.2683557196. The cubic root of 1828782648 is about 1222.8899168988.

The spelling of 1828782648 in words is "one billion, eight hundred twenty-eight million, seven hundred eighty-two thousand, six hundred forty-eight".