4207452928 has 288 divisors, whose sum is σ = 10737377280. Its totient is φ = 1605795840.

The previous prime is 4207452919. The next prime is 4207452937. The reversal of 4207452928 is 8292547024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4207452919) and next prime (4207452937).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47274708 + ... + 47274796.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^4207452928 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 4207452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368688640).

4207452928 is an abundant number, since it is smaller than the sum of its proper divisors (6529924352).

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

4207452928 is a wasteful number, since it uses less digits than its factorization.

4207452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 4207452928 is about 64864.8820857635. The cubic root of 4207452928 is about 1614.3824287118.

The spelling of 4207452928 in words is "four billion, two hundred seven million, four hundred fifty-two thousand, nine hundred twenty-eight".