384202728 has 144 divisors (see below), whose sum is σ = 1303700580. Its totient is φ = 101316096.

The previous prime is 384202699. The next prime is 384202751. The reversal of 384202728 is 827202483.

384202728 is a `hidden beast` number, since 384 + 2 + 0 + 272 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327682404 + 56520324 = 18102^2 + 7518^2 .

It is a super-2 number, since 2×384202728² = 295223472405283968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384202692 and 384202701.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41676 + ... + 50052.

Almost surely, 2^384202728 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 384202728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651850290).

384202728 is an abundant number, since it is smaller than the sum of its proper divisors (919497852).

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

384202728 is a wasteful number, since it uses less digits than its factorization.

384202728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 384202728 is about 19601.0899696930. The cubic root of 384202728 is about 726.9761247770.

The spelling of 384202728 in words is "three hundred eighty-four million, two hundred two thousand, seven hundred twenty-eight".