1828583952 has 80 divisors (see below), whose sum is σ = 5183293248. Its totient is φ = 552015360.

The previous prime is 1828583941. The next prime is 1828583963. The reversal of 1828583952 is 2593858281.

It is an interprime number because it is at equal distance from previous prime (1828583941) and next prime (1828583963).

It is a junction number, because it is equal to n+sod(n) for n = 1828583895 and 1828583904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5427 + ... + 60717.

Almost surely, 2^1828583952 is an apocalyptic number.

1828583952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828583952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591646624).

1828583952 is an abundant number, since it is smaller than the sum of its proper divisors (3354709296).

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

1828583952 is a wasteful number, since it uses less digits than its factorization.

1828583952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55368 (or 55362 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The square root of 1828583952 is about 42761.9451381716. The cubic root of 1828583952 is about 1222.8456265734.

The spelling of 1828583952 in words is "one billion, eight hundred twenty-eight million, five hundred eighty-three thousand, nine hundred fifty-two".