1228735872 has 256 divisors, whose sum is σ = 4464499200. Its totient is φ = 323979264.

The previous prime is 1228735867. The next prime is 1228735903. The reversal of 1228735872 is 2785378221.

1228735872 is a `hidden beast` number, since 1 + 228 + 7 + 358 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312543 + ... + 316449.

It is an arithmetic number, because the mean of its divisors is an integer number (17439450).

Almost surely, 2^1228735872 is an apocalyptic number.

1228735872 is a gapful number since it is divisible by the number (12) 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 1228735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232249600).

1228735872 is an abundant number, since it is smaller than the sum of its proper divisors (3235763328).

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

1228735872 is a wasteful number, since it uses less digits than its factorization.

1228735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3932 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 1228735872 is about 35053.3289717254. The cubic root of 1228735872 is about 1071.0740872569.

The spelling of 1228735872 in words is "one billion, two hundred twenty-eight million, seven hundred thirty-five thousand, eight hundred seventy-two".