327829950 has 192 divisors, whose sum is σ = 1044933120. Its totient is φ = 74027520.

The previous prime is 327829939. The next prime is 327829951. The reversal of 327829950 is 59928723.

It is a super-2 number, since 2×327829950² = 214944952234005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 327829896 and 327829905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327829951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067697 + ... + 1068003.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2^327829950 is an apocalyptic number.

327829950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327829950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

327829950 is an abundant number, since it is smaller than the sum of its proper divisors (717103170).

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

327829950 is a wasteful number, since it uses less digits than its factorization.

327829950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 327829950 is about 18106.0749473761. The cubic root of 327829950 is about 689.5242467139.

The spelling of 327829950 in words is "three hundred twenty-seven million, eight hundred twenty-nine thousand, nine hundred fifty".