10927728000 has 768 divisors, whose sum is σ = 46219904640. Its totient is φ = 2421964800.

The previous prime is 10927727977. The next prime is 10927728013. The reversal of 10927728000 is 82772901.

10927728000 is a `hidden beast` number, since 109 + 277 + 280 + 0 + 0 = 666.

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

It is a congruent number.

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, 37295854 + ... + 37296146.

Almost surely, 2^10927728000 is an apocalyptic number.

10927728000 is a gapful number since it is divisible by the number (10) 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 10927728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109952320).

10927728000 is an abundant number, since it is smaller than the sum of its proper divisors (35292176640).

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

10927728000 is a wasteful number, since it uses less digits than its factorization.

10927728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10927728000 in words is "ten billion, nine hundred twenty-seven million, seven hundred twenty-eight thousand".