1235728000 has 192 divisors, whose sum is σ = 3334120920. Its totient is φ = 455270400.

The previous prime is 1235727973. The next prime is 1235728001. The reversal of 1235728000 is 8275321.

It can be written as a sum of positive squares in 12 ways, for example, as 186486336 + 1049241664 = 13656^2 + 32392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1235728000.

It is not an unprimeable number, because it can be changed into a prime (1235728001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2703772 + ... + 2704228.

Almost surely, 2^1235728000 is an apocalyptic number.

1235728000 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 1235728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667060460).

1235728000 is an abundant number, since it is smaller than the sum of its proper divisors (2098392920).

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

1235728000 is an equidigital number, since it uses as much as digits as its factorization.

1235728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1235728000 is about 35152.9230648036. The cubic root of 1235728000 is about 1073.1018966129.

The spelling of 1235728000 in words is "one billion, two hundred thirty-five million, seven hundred twenty-eight thousand".