1226953728 has 792 divisors, whose sum is σ = 5096538720. Its totient is φ = 278691840.

The previous prime is 1226953727. The next prime is 1226953751. The reversal of 1226953728 is 8273596221.

1226953728 is a `hidden beast` number, since 12 + 269 + 5 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226953727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64576503 + ... + 64576521.

Almost surely, 2^1226953728 is an apocalyptic number.

1226953728 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 1226953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548269360).

1226953728 is an abundant number, since it is smaller than the sum of its proper divisors (3869584992).

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

1226953728 is a wasteful number, since it uses less digits than its factorization.

1226953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1226953728 is about 35027.8992804307. The cubic root of 1226953728 is about 1070.5560123032.

The spelling of 1226953728 in words is "one billion, two hundred twenty-six million, nine hundred fifty-three thousand, seven hundred twenty-eight".