1822076928 has 312 divisors, whose sum is σ = 6296978688. Its totient is φ = 496336896.

The previous prime is 1822076903. The next prime is 1822076929. The reversal of 1822076928 is 8296702281.

It is not an unprimeable number, because it can be changed into a prime (1822076929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934951 + ... + 5935257.

It is an arithmetic number, because the mean of its divisors is an integer number (20182624).

Almost surely, 2^1822076928 is an apocalyptic number.

1822076928 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 1822076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148489344).

1822076928 is an abundant number, since it is smaller than the sum of its proper divisors (4474901760).

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

1822076928 is a wasteful number, since it uses less digits than its factorization.

1822076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1822076928 is about 42685.7930463989. The cubic root of 1822076928 is about 1221.3934021209.

The spelling of 1822076928 in words is "one billion, eight hundred twenty-two million, seventy-six thousand, nine hundred twenty-eight".