4282007296 has 216 divisors, whose sum is σ = 10485720000. Its totient is φ = 1737695232.

The previous prime is 4282007287. The next prime is 4282007329. The reversal of 4282007296 is 6927002824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28738230 + ... + 28738378.

It is an arithmetic number, because the mean of its divisors is an integer number (48545000).

Almost surely, 2^4282007296 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 4282007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860000).

4282007296 is an abundant number, since it is smaller than the sum of its proper divisors (6203712704).

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

4282007296 is a wasteful number, since it uses less digits than its factorization.

4282007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4282007296 is about 65437.0483441911. The cubic root of 4282007296 is about 1623.8620572490.

The spelling of 4282007296 in words is "four billion, two hundred eighty-two million, seven thousand, two hundred ninety-six".