1166728900 has 18 divisors (see below), whose sum is σ = 2531801930. Its totient is φ = 466691520.

The previous prime is 1166728891. The next prime is 1166728943. The reversal of 1166728900 is 98276611.

It can be written as a sum of positive squares in 3 ways, for example, as 90364036 + 1076364864 = 9506^2 + 32808^2 .

It is a super-2 number, since 2×1166728900² = 2722512652190420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5833545 + ... + 5833744.

Almost surely, 2^1166728900 is an apocalyptic number.

1166728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166728900 is an abundant number, since it is smaller than the sum of its proper divisors (1365073030).

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

1166728900 is a wasteful number, since it uses less digits than its factorization.

1166728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667303 (or 11667296 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1166728900 is about 34157.4135437682. The cubic root of 1166728900 is about 1052.7453177581.

The spelling of 1166728900 in words is "one billion, one hundred sixty-six million, seven hundred twenty-eight thousand, nine hundred".