1226071728 has 300 divisors, whose sum is σ = 4233378600. Its totient is φ = 341397504.

The previous prime is 1226071711. The next prime is 1226071753. The reversal of 1226071728 is 8271706221.

1226071728 is a `hidden beast` number, since 1 + 22 + 607 + 1 + 7 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1226071692 and 1226071701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2730448 + ... + 2730896.

It is an arithmetic number, because the mean of its divisors is an integer number (14111262).

Almost surely, 2^1226071728 is an apocalyptic number.

1226071728 is a gapful number since it is divisible by the number (18) 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 1226071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116689300).

1226071728 is an abundant number, since it is smaller than the sum of its proper divisors (3007306872).

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

1226071728 is a wasteful number, since it uses less digits than its factorization.

1226071728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1226071728 is about 35015.3070527734. The cubic root of 1226071728 is about 1070.2994264933.

Adding to 1226071728 its reverse (8271706221), we get a palindrome (9497777949).

The spelling of 1226071728 in words is "one billion, two hundred twenty-six million, seventy-one thousand, seven hundred twenty-eight".