1928226800 has 60 divisors (see below), whose sum is σ = 4636786560. Its totient is φ = 770588160.

The previous prime is 1928226787. The next prime is 1928226821. The reversal of 1928226800 is 86228291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 860081 + ... + 862319.

It is an arithmetic number, because the mean of its divisors is an integer number (77279776).

Almost surely, 2^1928226800 is an apocalyptic number.

1928226800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1928226800 is an abundant number, since it is smaller than the sum of its proper divisors (2708559760).

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

1928226800 is a wasteful number, since it uses less digits than its factorization.

1928226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1928226800 is about 43911.5793384843. The cubic root of 1928226800 is about 1244.6656521685.

The spelling of 1928226800 in words is "one billion, nine hundred twenty-eight million, two hundred twenty-six thousand, eight hundred".