4628968000 has 56 divisors (see below), whose sum is σ = 11463659064. Its totient is φ = 1851584000.

The previous prime is 4628967983. The next prime is 4628968027. The reversal of 4628968000 is 8698264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1109156416 + 3519811584 = 33304^2 + 59328^2 .

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 7 ways as a sum of consecutive naturals, for example, 281311 + ... + 297310.

Almost surely, 2^4628968000 is an apocalyptic number.

4628968000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4628968000 is an abundant number, since it is smaller than the sum of its proper divisors (6834691064).

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

4628968000 is an equidigital number, since it uses as much as digits as its factorization.

4628968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578648 (or 578628 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 4628968000 is about 68036.5196052826. The cubic root of 4628968000 is about 1666.5872673286.

The spelling of 4628968000 in words is "four billion, six hundred twenty-eight million, nine hundred sixty-eight thousand".