1122667728 has 160 divisors (see below), whose sum is σ = 3685097472. Its totient is φ = 286502400.

The previous prime is 1122667703. The next prime is 1122667739. The reversal of 1122667728 is 8277662211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1122667728.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 131263 + ... + 139553.

Almost surely, 2^1122667728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842548736).

1122667728 is an abundant number, since it is smaller than the sum of its proper divisors (2562429744).

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

1122667728 is a wasteful number, since it uses less digits than its factorization.

1122667728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8347 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 1122667728 is about 33506.2341661966. The cubic root of 1122667728 is about 1039.3227000298.

The spelling of 1122667728 in words is "one billion, one hundred twenty-two million, six hundred sixty-seven thousand, seven hundred twenty-eight".