4000824828 has 216 divisors, whose sum is σ = 13682780384. Its totient is φ = 959143680.

The previous prime is 4000824811. The next prime is 4000824859. The reversal of 4000824828 is 8284280004.

4000824828 is a `hidden beast` number, since 400 + 0 + 8 + 248 + 2 + 8 = 666.

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 = 4000824792 and 4000824801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391350 + ... + 401442.

Almost surely, 2^4000824828 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 4000824828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841390192).

4000824828 is an abundant number, since it is smaller than the sum of its proper divisors (9681955556).

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

4000824828 is a wasteful number, since it uses less digits than its factorization.

4000824828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4000824828 is about 63252.0737051363. The cubic root of 4000824828 is about 1587.5101555388.

It can be divided in two parts, 4000 and 824828, that added together give a palindrome (828828).

The spelling of 4000824828 in words is "four billion, eight hundred twenty-four thousand, eight hundred twenty-eight".