1928689056 has 384 divisors, whose sum is σ = 6771179520. Its totient is φ = 529079040.

The previous prime is 1928689043. The next prime is 1928689073. The reversal of 1928689056 is 6509868291.

It is a happy number.

It is a super-2 number, since 2×1928689056² = 7439682949468342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1928688993 and 1928689011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15186465 + ... + 15186591.

It is an arithmetic number, because the mean of its divisors is an integer number (17633280).

Almost surely, 2^1928689056 is an apocalyptic number.

1928689056 is a gapful number since it is divisible by the number (16) 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 1928689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385589760).

1928689056 is an abundant number, since it is smaller than the sum of its proper divisors (4842490464).

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

1928689056 is an equidigital number, since it uses as much as digits as its factorization.

1928689056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1928689056 is about 43916.8425094519. The cubic root of 1928689056 is about 1244.7651059248.

The spelling of 1928689056 in words is "one billion, nine hundred twenty-eight million, six hundred eighty-nine thousand, fifty-six".