1828008952 has 96 divisors (see below), whose sum is σ = 4323564000. Its totient is φ = 709251840.

The previous prime is 1828008911. The next prime is 1828008953. The reversal of 1828008952 is 2598008281.

It is a junction number, because it is equal to n+sod(n) for n = 1828008899 and 1828008908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828008953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2364438 + ... + 2365210.

It is an arithmetic number, because the mean of its divisors is an integer number (45037125).

Almost surely, 2^1828008952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828008952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161782000).

1828008952 is an abundant number, since it is smaller than the sum of its proper divisors (2495555048).

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

1828008952 is a wasteful number, since it uses less digits than its factorization.

1828008952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 1828008952 is about 42755.2213419601. The cubic root of 1828008952 is about 1222.7174381378.

The spelling of 1828008952 in words is "one billion, eight hundred twenty-eight million, eight thousand, nine hundred fifty-two".