1121931828 has 54 divisors (see below), whose sum is σ = 2858314914. Its totient is φ = 371056608.

The previous prime is 1121931827. The next prime is 1121931829. The reversal of 1121931828 is 8281391211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121931827) and next prime (1121931829).

It can be written as a sum of positive squares in only one way, i.e., 1004382864 + 117548964 = 31692^2 + 10842^2 .

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 = 1121931792 and 1121931801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121931821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 694750 + ... + 696362.

Almost surely, 2^1121931828 is an apocalyptic number.

1121931828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1121931828 is an abundant number, since it is smaller than the sum of its proper divisors (1736383086).

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

1121931828 is a wasteful number, since it uses less digits than its factorization.

1121931828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1757 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1121931828 is about 33495.2508275427. The cubic root of 1121931828 is about 1039.0955610667.

The spelling of 1121931828 in words is "one billion, one hundred twenty-one million, nine hundred thirty-one thousand, eight hundred twenty-eight".