1828986368 has 160 divisors (see below), whose sum is σ = 4187196288. Its totient is φ = 790732800.

The previous prime is 1828986349. The next prime is 1828986377. The reversal of 1828986368 is 8636898281.

It is a super-2 number, since 2×1828986368² = 6690382268659662848, which contains 22 as substring.

It is a congruent number.

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, 13961663 + ... + 13961793.

Almost surely, 2^1828986368 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 1828986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093598144).

1828986368 is an abundant number, since it is smaller than the sum of its proper divisors (2358209920).

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

1828986368 is a wasteful number, since it uses less digits than its factorization.

1828986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 59.

The square root of 1828986368 is about 42766.6501844603. The cubic root of 1828986368 is about 1222.9353237681.

The spelling of 1828986368 in words is "one billion, eight hundred twenty-eight million, nine hundred eighty-six thousand, three hundred sixty-eight".