4186728000 has 1120 divisors, whose sum is σ = 19331440128. Its totient is φ = 870912000.

The previous prime is 4186727983. The next prime is 4186728001. The reversal of 4186728000 is 8276814.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4186728001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58967965 + ... + 58968035.

Almost surely, 2^4186728000 is an apocalyptic number.

4186728000 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 4186728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9665720064).

4186728000 is an abundant number, since it is smaller than the sum of its proper divisors (15144712128).

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

4186728000 is a wasteful number, since it uses less digits than its factorization.

4186728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4186728000 is about 64704.9302603751. The cubic root of 4186728000 is about 1611.7273745844.

The spelling of 4186728000 in words is "four billion, one hundred eighty-six million, seven hundred twenty-eight thousand".