1828635048 has 32 divisors (see below), whose sum is σ = 5079542400. Its totient is φ = 609544944.

The previous prime is 1828635019. The next prime is 1828635089. The reversal of 1828635048 is 8405368281.

1828635048 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 635 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×1828635048² = 6687812277547924608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1828634994 and 1828635012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4232736 + ... + 4233167.

It is an arithmetic number, because the mean of its divisors is an integer number (158735700).

Almost surely, 2^1828635048 is an apocalyptic number.

1828635048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1828635048 is an abundant number, since it is smaller than the sum of its proper divisors (3250907352).

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

1828635048 is a wasteful number, since it uses less digits than its factorization.

1828635048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465918 (or 8465908 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1828635048 is about 42762.5425810954. The cubic root of 1828635048 is about 1222.8570164321.

The spelling of 1828635048 in words is "one billion, eight hundred twenty-eight million, six hundred thirty-five thousand, forty-eight".