1127628 has 48 divisors (see below), whose sum is σ = 2993760. Its totient is φ = 366912.

The previous prime is 1127617. The next prime is 1127629. The reversal of 1127628 is 8267211.

1127628 is a `hidden beast` number, since 11 + 27 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1127629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 5822.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

2^1127628 is an apocalyptic number.

1127628 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 1127628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880).

1127628 is an abundant number, since it is smaller than the sum of its proper divisors (1866132).

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

1127628 is a wasteful number, since it uses less digits than its factorization.

1127628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1127628 is about 1061.8983002152. The cubic root of 1127628 is about 104.0851127711.

The spelling of 1127628 in words is "one million, one hundred twenty-seven thousand, six hundred twenty-eight".