4200282528 has 192 divisors, whose sum is σ = 12160253952. Its totient is φ = 1261624320.

The previous prime is 4200282523. The next prime is 4200282533. The reversal of 4200282528 is 8252820024.

It is an interprime number because it is at equal distance from previous prime (4200282523) and next prime (4200282533).

It is not an unprimeable number, because it can be changed into a prime (4200282523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15970525 + ... + 15970787.

It is an arithmetic number, because the mean of its divisors is an integer number (63334656).

Almost surely, 2^4200282528 is an apocalyptic number.

4200282528 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 4200282528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080126976).

4200282528 is an abundant number, since it is smaller than the sum of its proper divisors (7959971424).

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

4200282528 is a wasteful number, since it uses less digits than its factorization.

4200282528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4200282528 is about 64809.5866982656. The cubic root of 4200282528 is about 1613.4648228934.

The spelling of 4200282528 in words is "four billion, two hundred million, two hundred eighty-two thousand, five hundred twenty-eight".