1228827600 has 1080 divisors, whose sum is σ = 5955063296. Its totient is φ = 228096000.

The previous prime is 1228827599. The next prime is 1228827619. The reversal of 1228827600 is 67288221.

It is a happy number.

1228827600 is a `hidden beast` number, since 1 + 2 + 28 + 8 + 27 + 600 = 666.

1228827600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 215 ways as a sum of consecutive naturals, for example, 39639585 + ... + 39639615.

Almost surely, 2^1228827600 is an apocalyptic number.

1228827600 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 1228827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977531648).

1228827600 is an abundant number, since it is smaller than the sum of its proper divisors (4726235696).

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

1228827600 is a wasteful number, since it uses less digits than its factorization.

1228827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1228827600 is about 35054.6373537083. The cubic root of 1228827600 is about 1071.1007393203.

It can be divided in two parts, 1228 and 827600, that added together give a palindrome (828828).

The spelling of 1228827600 in words is "one billion, two hundred twenty-eight million, eight hundred twenty-seven thousand, six hundred".