4285832760 has 192 divisors, whose sum is σ = 15228794880. Its totient is φ = 1036696320.

The previous prime is 4285832689. The next prime is 4285832791. The reversal of 4285832760 is 672385824.

4285832760 is a `hidden beast` number, since 4 + 2 + 8 + 583 + 2 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402829 + ... + 2404611.

It is an arithmetic number, because the mean of its divisors is an integer number (79316640).

Almost surely, 2^4285832760 is an apocalyptic number.

4285832760 is a gapful number since it is divisible by the number (40) 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 4285832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614397440).

4285832760 is an abundant number, since it is smaller than the sum of its proper divisors (10942962120).

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

4285832760 is a wasteful number, since it uses less digits than its factorization.

4285832760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4285832760 is about 65466.2719268479. The cubic root of 4285832760 is about 1624.3454891558.

The spelling of 4285832760 in words is "four billion, two hundred eighty-five million, eight hundred thirty-two thousand, seven hundred sixty".