4235328000 has 800 divisors, whose sum is σ = 16992930240. Its totient is φ = 1045094400.

The previous prime is 4235327983. The next prime is 4235328023. The reversal of 4235328000 is 8235324.

4235328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98495979 + ... + 98496021.

Almost surely, 2^4235328000 is an apocalyptic number.

4235328000 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 4235328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496465120).

4235328000 is an abundant number, since it is smaller than the sum of its proper divisors (12757602240).

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

4235328000 is an equidigital number, since it uses as much as digits as its factorization.

4235328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4235328000 is about 65079.3976616256. The cubic root of 4235328000 is about 1617.9397678454.

The spelling of 4235328000 in words is "four billion, two hundred thirty-five million, three hundred twenty-eight thousand".