1011225828 has 96 divisors (see below), whose sum is σ = 2581770240. Its totient is φ = 306875520.

The previous prime is 1011225749. The next prime is 1011225829. The reversal of 1011225828 is 8285221101.

It is a junction number, because it is equal to n+sod(n) for n = 1011225795 and 1011225804.

It is not an unprimeable number, because it can be changed into a prime (1011225829) by changing a digit.

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, 1222351 + ... + 1223177.

It is an arithmetic number, because the mean of its divisors is an integer number (26893440).

Almost surely, 2^1011225828 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 1011225828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290885120).

1011225828 is an abundant number, since it is smaller than the sum of its proper divisors (1570544412).

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

1011225828 is a wasteful number, since it uses less digits than its factorization.

1011225828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1011225828 is about 31799.7771690306. Note that the first 3 decimals coincide. The cubic root of 1011225828 is about 1003.7280272089.

Adding to 1011225828 its reverse (8285221101), we get a palindrome (9296446929).

The spelling of 1011225828 in words is "one billion, eleven million, two hundred twenty-five thousand, eight hundred twenty-eight".