4084172928 has 448 divisors, whose sum is σ = 13966966080. Its totient is φ = 1176975360.

The previous prime is 4084172909. The next prime is 4084172933. The reversal of 4084172928 is 8292714804.

It is a super-3 number, since 3×4084172928³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23607850 + ... + 23608022.

Almost surely, 2^4084172928 is an apocalyptic number.

4084172928 is a gapful number since it is divisible by the number (48) 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 4084172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983483040).

4084172928 is an abundant number, since it is smaller than the sum of its proper divisors (9882793152).

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

4084172928 is a wasteful number, since it uses less digits than its factorization.

4084172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4084172928 is about 63907.5342037228. The cubic root of 4084172928 is about 1598.4585320665.

The spelling of 4084172928 in words is "four billion, eighty-four million, one hundred seventy-two thousand, nine hundred twenty-eight".