4082583648 has 96 divisors (see below), whose sum is σ = 12590387712. Its totient is φ = 1141977600.

The previous prime is 4082583629. The next prime is 4082583649. The reversal of 4082583648 is 8463852804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4082583597 and 4082583606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082583649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134968 + ... + 162423.

It is an arithmetic number, because the mean of its divisors is an integer number (131149872).

Almost surely, 2^4082583648 is an apocalyptic number.

4082583648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4082583648 is an abundant number, since it is smaller than the sum of its proper divisors (8507804064).

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

4082583648 is a wasteful number, since it uses less digits than its factorization.

4082583648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297428 (or 297420 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 4082583648 is about 63895.0987791708. The cubic root of 4082583648 is about 1598.2511683555.

The spelling of 4082583648 in words is "four billion, eighty-two million, five hundred eighty-three thousand, six hundred forty-eight".