4082516928 has 504 divisors, whose sum is σ = 14996891520. Its totient is φ = 1053803520.

The previous prime is 4082516887. The next prime is 4082516929. The reversal of 4082516928 is 8296152804.

4082516928 is a `hidden beast` number, since 40 + 8 + 2 + 516 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082516929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12333723 + ... + 12334053.

Almost surely, 2^4082516928 is an apocalyptic number.

4082516928 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 4082516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498445760).

4082516928 is an abundant number, since it is smaller than the sum of its proper divisors (10914374592).

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

4082516928 is a wasteful number, since it uses less digits than its factorization.

4082516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4082516928 is about 63894.5766712637. The cubic root of 4082516928 is about 1598.2424617857.

The spelling of 4082516928 in words is "four billion, eighty-two million, five hundred sixteen thousand, nine hundred twenty-eight".