1988268100 has 189 divisors, whose sum is σ = 5450612727. Its totient is φ = 629254080.

The previous prime is 1988268083. The next prime is 1988268127. The reversal of 1988268100 is 18628891.

The square root of 1988268100 is 44590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 512479044 + 1475789056 = 22638^2 + 38416^2 .

It is a super-2 number, since 2×1988268100² = 7906420074955220000, which contains 22 as substring.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 152943694 + ... + 152943706.

Almost surely, 2^1988268100 is an apocalyptic number.

1988268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1988268100 is the 44590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988268100

1988268100 is an abundant number, since it is smaller than the sum of its proper divisors (3462344627).

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

1988268100 is an frugal number, since it uses more digits than its factorization.

1988268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The cubic root of 1988268100 is about 1257.4526724978.

The spelling of 1988268100 in words is "one billion, nine hundred eighty-eight million, two hundred sixty-eight thousand, one hundred".