4206887328 has 192 divisors, whose sum is σ = 13058454528. Its totient is φ = 1160878080.

The previous prime is 4206887273. The next prime is 4206887329. The reversal of 4206887328 is 8237886024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4206887329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2947351 + ... + 2948777.

It is an arithmetic number, because the mean of its divisors is an integer number (68012784).

Almost surely, 2^4206887328 is an apocalyptic number.

4206887328 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 4206887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529227264).

4206887328 is an abundant number, since it is smaller than the sum of its proper divisors (8851567200).

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

4206887328 is a wasteful number, since it uses less digits than its factorization.

4206887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4206887328 is about 64860.5221070568. The cubic root of 4206887328 is about 1614.3100860034.

The spelling of 4206887328 in words is "four billion, two hundred six million, eight hundred eighty-seven thousand, three hundred twenty-eight".