4273328000 has 128 divisors (see below), whose sum is σ = 11184544800. Its totient is φ = 1619251200.

The previous prime is 4273327979. The next prime is 4273328011. The reversal of 4273328000 is 8233724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4273328000² = 36522664391168000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296972 + ... + 311028.

Almost surely, 2^4273328000 is an apocalyptic number.

4273328000 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 4273328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592272400).

4273328000 is an abundant number, since it is smaller than the sum of its proper divisors (6911216800).

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

4273328000 is a wasteful number, since it uses less digits than its factorization.

4273328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4273328000 is about 65370.6967991010. The cubic root of 4273328000 is about 1622.7641677400.

The spelling of 4273328000 in words is "four billion, two hundred seventy-three million, three hundred twenty-eight thousand".