4132728000 has 672 divisors, whose sum is σ = 16304483520. Its totient is φ = 1024358400.

The previous prime is 4132727993. The next prime is 4132728059. The reversal of 4132728000 is 8272314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77975974 + ... + 77976026.

Almost surely, 2^4132728000 is an apocalyptic number.

4132728000 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 4132728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152241760).

4132728000 is an abundant number, since it is smaller than the sum of its proper divisors (12171755520).

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

4132728000 is a wasteful number, since it uses less digits than its factorization.

4132728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4132728000 is about 64286.2971402149. The cubic root of 4132728000 is about 1604.7680685039.

The spelling of 4132728000 in words is "four billion, one hundred thirty-two million, seven hundred twenty-eight thousand".