934728000 has 448 divisors, whose sum is σ = 3423513600. Its totient is φ = 223641600.

The previous prime is 934727999. The next prime is 934728007. The reversal of 934728000 is 827439.

934728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934728007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11831961 + ... + 11832039.

Almost surely, 2^934728000 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 934728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711756800).

934728000 is an abundant number, since it is smaller than the sum of its proper divisors (2488785600).

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

934728000 is a wasteful number, since it uses less digits than its factorization.

934728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 934728000 is about 30573.3217037338. The cubic root of 934728000 is about 977.7513346078.

The spelling of 934728000 in words is "nine hundred thirty-four million, seven hundred twenty-eight thousand".