1127036628 has 72 divisors (see below), whose sum is σ = 2957409000. Its totient is φ = 361460736.

The previous prime is 1127036621. The next prime is 1127036629. The reversal of 1127036628 is 8266307211.

1127036628 is a `hidden beast` number, since 1 + 1 + 27 + 0 + 3 + 6 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101243844 + 1025792784 = 10062^2 + 32028^2 .

It is a super-2 number, since 2×1127036628² = 2540423121707220768, which contains 22 as substring.

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 = 1127036592 and 1127036601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127036621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325048 + ... + 328496.

It is an arithmetic number, because the mean of its divisors is an integer number (41075125).

Almost surely, 2^1127036628 is an apocalyptic number.

1127036628 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 1127036628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478704500).

1127036628 is an abundant number, since it is smaller than the sum of its proper divisors (1830372372).

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

1127036628 is a wasteful number, since it uses less digits than its factorization.

1127036628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1127036628 is about 33571.3661920393. The cubic root of 1127036628 is about 1040.6691416170.

The spelling of 1127036628 in words is "one billion, one hundred twenty-seven million, thirty-six thousand, six hundred twenty-eight".