1900218221928 has 128 divisors (see below), whose sum is σ = 5686546924800. Its totient is φ = 584463091968.

The previous prime is 1900218221927. The next prime is 1900218221929. The reversal of 1900218221928 is 8291228120091.

1900218221928 is a `hidden beast` number, since 190 + 0 + 218 + 221 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1900218221927) and next prime (1900218221929).

It is a super-3 number, since 3×1900218221928³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1900218221927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7436301 + ... + 7687587.

It is an arithmetic number, because the mean of its divisors is an integer number (44426147850).

Almost surely, 2^{1900218221928} is an apocalyptic number.

1900218221928 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 1900218221928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843273462400).

1900218221928 is an abundant number, since it is smaller than the sum of its proper divisors (3786328702872).

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

1900218221928 is a wasteful number, since it uses less digits than its factorization.

1900218221928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254008 (or 253998 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1900218221928 in words is "one trillion, nine hundred billion, two hundred eighteen million, two hundred twenty-one thousand, nine hundred twenty-eight".