11197728000 has 432 divisors, whose sum is σ = 41037796800. Its totient is φ = 2930995200.

The previous prime is 11197727993. The next prime is 11197728001. The reversal of 11197728000 is 82779111.

It is a super-2 number, since 2×11197728000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16991671 + ... + 16992329.

It is an arithmetic number, because the mean of its divisors is an integer number (94994900).

Almost surely, 2^11197728000 is an apocalyptic number.

11197728000 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 11197728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518898400).

11197728000 is an abundant number, since it is smaller than the sum of its proper divisors (29840068800).

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

11197728000 is an equidigital number, since it uses as much as digits as its factorization.

11197728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11197728000 in words is "eleven billion, one hundred ninety-seven million, seven hundred twenty-eight thousand".