1228896000 has 432 divisors, whose sum is σ = 4700693088. Its totient is φ = 307200000.

The previous prime is 1228895999. The next prime is 1228896013. The reversal of 1228896000 is 6988221.

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 47 ways as a sum of consecutive naturals, for example, 4895875 + ... + 4896125.

It is an arithmetic number, because the mean of its divisors is an integer number (10881234).

Almost surely, 2^1228896000 is an apocalyptic number.

1228896000 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 1228896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350346544).

1228896000 is an abundant number, since it is smaller than the sum of its proper divisors (3471797088).

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

1228896000 is a wasteful number, since it uses less digits than its factorization.

1228896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1228896000 is about 35055.6129599812. The cubic root of 1228896000 is about 1071.1206124447.

The spelling of 1228896000 in words is "one billion, two hundred twenty-eight million, eight hundred ninety-six thousand".