1233081828 has 144 divisors (see below), whose sum is σ = 3502699200. Its totient is φ = 362588160.

The previous prime is 1233081821. The next prime is 1233081841. The reversal of 1233081828 is 8281803321.

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 = 1233081792 and 1233081801.

It is not an unprimeable number, because it can be changed into a prime (1233081821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079100 + ... + 2079692.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 2^1233081828 is an apocalyptic number.

1233081828 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 1233081828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751349600).

1233081828 is an abundant number, since it is smaller than the sum of its proper divisors (2269617372).

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

1233081828 is a wasteful number, since it uses less digits than its factorization.

1233081828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1233081828 is about 35115.2648858014. The cubic root of 1233081828 is about 1072.3353736915.

The spelling of 1233081828 in words is "one billion, two hundred thirty-three million, eighty-one thousand, eight hundred twenty-eight".