384828100 has 54 divisors (see below), whose sum is σ = 845837790. Its totient is φ = 151971840.

The previous prime is 384828053. The next prime is 384828131. The reversal of 384828100 is 1828483.

It can be written as a sum of positive squares in 9 ways, for example, as 43243776 + 341584324 = 6576^2 + 18482^2 .

It is a super-2 number, since 2×384828100² = 296185333099220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 940696 + ... + 941104.

Almost surely, 2^384828100 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 384828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422918895).

384828100 is an abundant number, since it is smaller than the sum of its proper divisors (461009690).

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

384828100 is a wasteful number, since it uses less digits than its factorization.

384828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 384828100 is about 19617.0359636720. The cubic root of 384828100 is about 727.3703472654.

The spelling of 384828100 in words is "three hundred eighty-four million, eight hundred twenty-eight thousand, one hundred".